16913437632 has 1344 divisors, whose sum is σ = 70828692480. Its totient is φ = 3869835264.

The previous prime is 16913437579. The next prime is 16913437657. The reversal of 16913437632 is 23673431961.

16913437632 is a `hidden beast` number, since 1 + 6 + 9 + 1 + 3 + 4 + 3 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 457119918 + ... + 457119954.

It is an arithmetic number, because the mean of its divisors is an integer number (52699920).

Almost surely, 2^16913437632 is an apocalyptic number.

16913437632 is a gapful number since it is divisible by the number (12) 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 16913437632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35414346240).

16913437632 is an abundant number, since it is smaller than the sum of its proper divisors (53915254848).

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

16913437632 is a wasteful number, since it uses less digits than its factorization.

16913437632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The spelling of 16913437632 in words is "sixteen billion, nine hundred thirteen million, four hundred thirty-seven thousand, six hundred thirty-two".