57714056064 has 512 divisors, whose sum is σ = 205961011200. Its totient is φ = 15560294400.

The previous prime is 57714056053. The next prime is 57714056083. The reversal of 57714056064 is 46065041775.

57714056064 is a `hidden beast` number, since 5 + 77 + 14 + 0 + 560 + 6 + 4 = 666.

It is a super-3 number, since 3×57714056064³ (a number of 33 digits) contains 333 as substring.

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, 30747094 + ... + 30748970.

It is an arithmetic number, because the mean of its divisors is an integer number (402267600).

Almost surely, 2^57714056064 is an apocalyptic number.

57714056064 is a gapful number since it is divisible by the number (54) 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 57714056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102980505600).

57714056064 is an abundant number, since it is smaller than the sum of its proper divisors (148246955136).

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

57714056064 is a wasteful number, since it uses less digits than its factorization.

57714056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 57714056064 in words is "fifty-seven billion, seven hundred fourteen million, fifty-six thousand, sixty-four".