16379367691680 has 384 divisors, whose sum is σ = 65761062796800. Its totient is φ = 3729935941632.

The previous prime is 16379367691679. The next prime is 16379367691681. The reversal of 16379367691680 is 8619676397361.

16379367691680 is a `hidden beast` number, since 1 + 6 + 379 + 36 + 7 + 69 + 168 + 0 = 666.

16379367691680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16379367691679) and next prime (16379367691681).

It is a super-2 number, since 2×16379367691680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16379367691599 and 16379367691608.

It is not an unprimeable number, because it can be changed into a prime (16379367691681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7127784 + ... + 9141336.

It is an arithmetic number, because the mean of its divisors is an integer number (171252767700).

Almost surely, 2^{16379367691680} is an apocalyptic number.

16379367691680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16379367691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32880531398400).

16379367691680 is an abundant number, since it is smaller than the sum of its proper divisors (49381695105120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16379367691680 is a wasteful number, since it uses less digits than its factorization.

16379367691680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013853 (or 2013839 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 16379367691680 in words is "sixteen trillion, three hundred seventy-nine billion, three hundred sixty-seven million, six hundred ninety-one thousand, six hundred eighty".