57640170240 has 360 divisors, whose sum is σ = 207544407840. Its totient is φ = 15274082304.

The previous prime is 57640170239. The next prime is 57640170319. The reversal of 57640170240 is 4207104675.

57640170240 is a `hidden beast` number, since 5 + 7 + 6 + 401 + 7 + 0 + 240 = 666.

57640170240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57640170195 and 57640170204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17312896 + ... + 17316224.

It is an arithmetic number, because the mean of its divisors is an integer number (576512244).

Almost surely, 2^57640170240 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 57640170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103772203920).

57640170240 is an abundant number, since it is smaller than the sum of its proper divisors (149904237600).

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

57640170240 is a wasteful number, since it uses less digits than its factorization.

57640170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 57640170240 in words is "fifty-seven billion, six hundred forty million, one hundred seventy thousand, two hundred forty".