16993167396480 has 640 divisors, whose sum is σ = 66341824243200. Its totient is φ = 4110889328640.

The previous prime is 16993167396473. The next prime is 16993167396487. The reversal of 16993167396480 is 8469376139961.

16993167396480 is a `hidden beast` number, since 1 + 69 + 9 + 3 + 16 + 73 + 9 + 6 + 480 = 666.

16993167396480 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 (16993167396473) and next prime (16993167396487).

It is a tau number, because it is divible by the number of its divisors (640).

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 = 16993167396399 and 16993167396408.

It is not an unprimeable number, because it can be changed into a prime (16993167396487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 273113854 + ... + 273176066.

It is an arithmetic number, because the mean of its divisors is an integer number (103659100380).

Almost surely, 2^{16993167396480} is an apocalyptic number.

16993167396480 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 16993167396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33170912121600).

16993167396480 is an abundant number, since it is smaller than the sum of its proper divisors (49348656846720).

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

16993167396480 is a wasteful number, since it uses less digits than its factorization.

16993167396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62734 (or 62713 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 16993167396480 in words is "sixteen trillion, nine hundred ninety-three billion, one hundred sixty-seven million, three hundred ninety-six thousand, four hundred eighty".