57623391264 has 96 divisors (see below), whose sum is σ = 153791447040. Its totient is φ = 18888480000.

The previous prime is 57623391227. The next prime is 57623391271. The reversal of 57623391264 is 46219332675.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888449 + ... + 1918719.

It is an arithmetic number, because the mean of its divisors is an integer number (1601994240).

Almost surely, 2^57623391264 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 57623391264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76895723520).

57623391264 is an abundant number, since it is smaller than the sum of its proper divisors (96168055776).

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

57623391264 is a wasteful number, since it uses less digits than its factorization.

57623391264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30614 (or 30606 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 57623391264 in words is "fifty-seven billion, six hundred twenty-three million, three hundred ninety-one thousand, two hundred sixty-four".