57647743500672 has 768 divisors, whose sum is σ = 192503383833600. Its totient is φ = 16943822438400.

The previous prime is 57647743500647. The next prime is 57647743500689. The reversal of 57647743500672 is 27600534774675.

57647743500672 is a `hidden beast` number, since 5 + 7 + 6 + 477 + 43 + 50 + 0 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11834886397 + ... + 11834891267.

It is an arithmetic number, because the mean of its divisors is an integer number (250655447700).

Almost surely, 2^{57647743500672} is an apocalyptic number.

57647743500672 is a gapful number since it is divisible by the number (52) 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 57647743500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96251691916800).

57647743500672 is an abundant number, since it is smaller than the sum of its proper divisors (134855640332928).

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

57647743500672 is a wasteful number, since it uses less digits than its factorization.

57647743500672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 207446400, while the sum is 63.

The spelling of 57647743500672 in words is "fifty-seven trillion, six hundred forty-seven billion, seven hundred forty-three million, five hundred thousand, six hundred seventy-two".