16167372480 has 336 divisors, whose sum is σ = 63696372480. Its totient is φ = 3687081984.

The previous prime is 16167372421. The next prime is 16167372491. The reversal of 16167372480 is 8427376161.

16167372480 is a `hidden beast` number, since 1 + 6 + 167 + 3 + 7 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×16167372480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15865411 + ... + 15866429.

Almost surely, 2^16167372480 is an apocalyptic number.

16167372480 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 16167372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31848186240).

16167372480 is an abundant number, since it is smaller than the sum of its proper divisors (47529000000).

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

16167372480 is a wasteful number, since it uses less digits than its factorization.

16167372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 16167372480 in words is "sixteen billion, one hundred sixty-seven million, three hundred seventy-two thousand, four hundred eighty".