57640738848 has 192 divisors, whose sum is σ = 189847784448. Its totient is φ = 14875960320.

The previous prime is 57640738847. The next prime is 57640738873. The reversal of 57640738848 is 84883704675.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 57640738791 and 57640738800.

It is not an unprimeable number, because it can be changed into a prime (57640738847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135711 + ... + 1185377.

It is an arithmetic number, because the mean of its divisors is an integer number (988790544).

Almost surely, 2^57640738848 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 57640738848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94923892224).

57640738848 is an abundant number, since it is smaller than the sum of its proper divisors (132207045600).

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

57640738848 is a wasteful number, since it uses less digits than its factorization.

57640738848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49855 (or 49847 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 57640738848 in words is "fifty-seven billion, six hundred forty million, seven hundred thirty-eight thousand, eight hundred forty-eight".