16866368640 has 512 divisors, whose sum is σ = 65963808000. Its totient is φ = 4038819840.

The previous prime is 16866368639. The next prime is 16866368653. The reversal of 16866368640 is 4686366861.

16866368640 is a `hidden beast` number, since 168 + 66 + 368 + 64 + 0 = 666.

It is a super-2 number, since 2×16866368640² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16916622 + ... + 16917618.

Almost surely, 2^16866368640 is an apocalyptic number.

16866368640 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 16866368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32981904000).

16866368640 is an abundant number, since it is smaller than the sum of its proper divisors (49097439360).

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

16866368640 is a wasteful number, since it uses less digits than its factorization.

16866368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 16866368640 in words is "sixteen billion, eight hundred sixty-six million, three hundred sixty-eight thousand, six hundred forty".