16957642464 has 288 divisors, whose sum is σ = 57791543040. Its totient is φ = 4823449344.

The previous prime is 16957642453. The next prime is 16957642489. The reversal of 16957642464 is 46424675961.

16957642464 is a `hidden beast` number, since 1 + 6 + 9 + 576 + 4 + 2 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16957642464.

It is a congruent number.

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, 11133607 + ... + 11135129.

It is an arithmetic number, because the mean of its divisors is an integer number (200665080).

Almost surely, 2^16957642464 is an apocalyptic number.

16957642464 is a gapful number since it is divisible by the number (14) 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 16957642464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28895771520).

16957642464 is an abundant number, since it is smaller than the sum of its proper divisors (40833900576).

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

16957642464 is a wasteful number, since it uses less digits than its factorization.

16957642464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1798 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 16957642464 in words is "sixteen billion, nine hundred fifty-seven million, six hundred forty-two thousand, four hundred sixty-four".