57946674240 has 1344 divisors, whose sum is σ = 268403466240. Its totient is φ = 11555758080.

The previous prime is 57946674217. The next prime is 57946674241. The reversal of 57946674240 is 4247664975.

57946674240 is a `hidden beast` number, since 5 + 79 + 466 + 74 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57946674241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134446825 + ... + 134447255.

It is an arithmetic number, because the mean of its divisors is an integer number (199704960).

Almost surely, 2^57946674240 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 57946674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134201733120).

57946674240 is an abundant number, since it is smaller than the sum of its proper divisors (210456792000).

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

57946674240 is a wasteful number, since it uses less digits than its factorization.

57946674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 57946674240 in words is "fifty-seven billion, nine hundred forty-six million, six hundred seventy-four thousand, two hundred forty".