57670053840 has 320 divisors, whose sum is σ = 227585433600. Its totient is φ = 13148822016.

The previous prime is 57670053821. The next prime is 57670053841. The reversal of 57670053840 is 4835007675.

57670053840 is a `hidden beast` number, since 5 + 7 + 6 + 70 + 0 + 538 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57670053841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6330729 + ... + 6339831.

It is an arithmetic number, because the mean of its divisors is an integer number (711204480).

Almost surely, 2^57670053840 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 57670053840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113792716800).

57670053840 is an abundant number, since it is smaller than the sum of its proper divisors (169915379760).

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

57670053840 is a wasteful number, since it uses less digits than its factorization.

57670053840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9551 (or 9539 counting only the distinct ones).

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

The spelling of 57670053840 in words is "fifty-seven billion, six hundred seventy million, fifty-three thousand, eight hundred forty".