16608352400640 has 6480 divisors, whose sum is σ = 88259903484480. Its totient is φ = 2840427233280.

The previous prime is 16608352400567. The next prime is 16608352400671. The reversal of 16608352400640 is 4600425380661.

16608352400640 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 83 + 524 + 0 + 0 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 874123810551 + ... + 874123810569.

It is an arithmetic number, because the mean of its divisors is an integer number (13620355476).

Almost surely, 2^{16608352400640} is an apocalyptic number.

16608352400640 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 16608352400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44129951742240).

16608352400640 is an abundant number, since it is smaller than the sum of its proper divisors (71651551083840).

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

16608352400640 is a wasteful number, since it uses less digits than its factorization.

16608352400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 16608352400640 in words is "sixteen trillion, six hundred eight billion, three hundred fifty-two million, four hundred thousand, six hundred forty".