16164276480 has 432 divisors, whose sum is σ = 61413206400. Its totient is φ = 3892838400.

The previous prime is 16164276461. The next prime is 16164276487. The reversal of 16164276480 is 8467246161.

16164276480 is a `hidden beast` number, since 1 + 6 + 164 + 2 + 7 + 6 + 480 = 666.

It is a super-2 number, since 2×16164276480² (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 not an unprimeable number, because it can be changed into a prime (16164276487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25216960 + ... + 25217600.

It is an arithmetic number, because the mean of its divisors is an integer number (142160200).

Almost surely, 2^16164276480 is an apocalyptic number.

16164276480 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 16164276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30706603200).

16164276480 is an abundant number, since it is smaller than the sum of its proper divisors (45248929920).

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

16164276480 is a wasteful number, since it uses less digits than its factorization.

16164276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16164276480 in words is "sixteen billion, one hundred sixty-four million, two hundred seventy-six thousand, four hundred eighty".