75557664 has 288 divisors, whose sum is σ = 280264320. Its totient is φ = 19284480.

The previous prime is 75557641. The next prime is 75557681. The reversal of 75557664 is 46675557.

75557664 is a `hidden beast` number, since 75 + 5 + 576 + 6 + 4 = 666.

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

Its product of digits (882000) is a multiple of the sum of its prime divisors (56).

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, 2437329 + ... + 2437359.

It is an arithmetic number, because the mean of its divisors is an integer number (973140).

Almost surely, 2^75557664 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 75557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140132160).

75557664 is an abundant number, since it is smaller than the sum of its proper divisors (204706656).

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

75557664 is a wasteful number, since it uses less digits than its factorization.

75557664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 56 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 75557664 is about 8692.3911554877. The cubic root of 75557664 is about 422.7589794400.

The spelling of 75557664 in words is "seventy-five million, five hundred fifty-seven thousand, six hundred sixty-four".