55737895664 has 320 divisors, whose sum is σ = 134219980800. Its totient is φ = 22122777600.

The previous prime is 55737895649. The next prime is 55737895679. The reversal of 55737895664 is 46659873755.

It is an interprime number because it is at equal distance from previous prime (55737895649) and next prime (55737895679).

It is a self number, because there is not a number n which added to its sum of digits gives 55737895664.

It is a congruent number.

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, 322184282 + ... + 322184454.

It is an arithmetic number, because the mean of its divisors is an integer number (419437440).

Almost surely, 2^55737895664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55737895664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67109990400).

55737895664 is an abundant number, since it is smaller than the sum of its proper divisors (78482085136).

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

55737895664 is a wasteful number, since it uses less digits than its factorization.

55737895664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its digits is 190512000, while the sum is 65.

The spelling of 55737895664 in words is "fifty-five billion, seven hundred thirty-seven million, eight hundred ninety-five thousand, six hundred sixty-four".