57463164720 has 960 divisors, whose sum is σ = 231898074240. Its totient is φ = 12995002368.

The previous prime is 57463164713. The next prime is 57463164727. The reversal of 57463164720 is 2746136475.

57463164720 is a `hidden beast` number, since 5 + 7 + 4 + 631 + 6 + 4 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57463164713) and next prime (57463164727).

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

It is not an unprimeable number, because it can be changed into a prime (57463164727) 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, 592403712 + ... + 592403808.

It is an arithmetic number, because the mean of its divisors is an integer number (241560494).

Almost surely, 2^57463164720 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 57463164720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115949037120).

57463164720 is an abundant number, since it is smaller than the sum of its proper divisors (174434909520).

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

57463164720 is a wasteful number, since it uses less digits than its factorization.

57463164720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 57463164720 in words is "fifty-seven billion, four hundred sixty-three million, one hundred sixty-four thousand, seven hundred twenty".