55617329664 has 480 divisors, whose sum is σ = 185423382144. Its totient is φ = 15911976960.

The previous prime is 55617329639. The next prime is 55617329671. The reversal of 55617329664 is 46692371655.

55617329664 is a `hidden beast` number, since 5 + 561 + 73 + 2 + 9 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55617329664.

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, 50977759 + ... + 50978849.

Almost surely, 2^55617329664 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 55617329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92711691072).

55617329664 is an abundant number, since it is smaller than the sum of its proper divisors (129806052480).

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

55617329664 is a wasteful number, since it uses less digits than its factorization.

55617329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1169 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 55617329664 in words is "fifty-five billion, six hundred seventeen million, three hundred twenty-nine thousand, six hundred sixty-four".