57842564760 has 192 divisors, whose sum is σ = 197163046080. Its totient is φ = 14678737920.

The previous prime is 57842564729. The next prime is 57842564779. The reversal of 57842564760 is 6746524875.

It is a happy number.

57842564760 is a `hidden beast` number, since 5 + 7 + 8 + 4 + 2 + 564 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57842564697 and 57842564706.

It is a congruent number.

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, 1613430 + ... + 1648890.

It is an arithmetic number, because the mean of its divisors is an integer number (1026890865).

Almost surely, 2^57842564760 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 57842564760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98581523040).

57842564760 is an abundant number, since it is smaller than the sum of its proper divisors (139320481320).

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

57842564760 is a wasteful number, since it uses less digits than its factorization.

57842564760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35698 (or 35691 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 57842564760 in words is "fifty-seven billion, eight hundred forty-two million, five hundred sixty-four thousand, seven hundred sixty".