57976749864 has 192 divisors, whose sum is σ = 178197626880. Its totient is φ = 17513496000.

The previous prime is 57976749839. The next prime is 57976749899. The reversal of 57976749864 is 46894767975.

57976749864 is a `hidden beast` number, since 5 + 7 + 9 + 76 + 7 + 498 + 64 = 666.

It is a super-2 number, since 2×57976749864² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57976749792 and 57976749801.

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, 7074009 + ... + 7082199.

It is an arithmetic number, because the mean of its divisors is an integer number (928112640).

Almost surely, 2^57976749864 is an apocalyptic number.

57976749864 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 57976749864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89098813440).

57976749864 is an abundant number, since it is smaller than the sum of its proper divisors (120220877016).

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

57976749864 is a wasteful number, since it uses less digits than its factorization.

57976749864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8554 (or 8538 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 57976749864 in words is "fifty-seven billion, nine hundred seventy-six million, seven hundred forty-nine thousand, eight hundred sixty-four".