57634029376 has 112 divisors (see below), whose sum is σ = 143106233472. Its totient is φ = 22373222400.

The previous prime is 57634029371. The next prime is 57634029389. The reversal of 57634029376 is 67392043675.

57634029376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×57634029376² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57634029371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1343946 + ... + 1386166.

Almost surely, 2^57634029376 is an apocalyptic number.

57634029376 is a gapful number since it is divisible by the number (56) 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 57634029376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71553116736).

57634029376 is an abundant number, since it is smaller than the sum of its proper divisors (85472204096).

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

57634029376 is a wasteful number, since it uses less digits than its factorization.

57634029376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42528 (or 42518 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 52.

The spelling of 57634029376 in words is "fifty-seven billion, six hundred thirty-four million, twenty-nine thousand, three hundred seventy-six".