57449712672 has 480 divisors, whose sum is σ = 195458598720. Its totient is φ = 16370657280.

The previous prime is 57449712631. The next prime is 57449712673. The reversal of 57449712672 is 27621794475.

57449712672 is a `hidden beast` number, since 5 + 7 + 449 + 7 + 126 + 72 = 666.

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 (57449712673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93718638 + ... + 93719250.

It is an arithmetic number, because the mean of its divisors is an integer number (407205414).

Almost surely, 2^57449712672 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 57449712672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97729299360).

57449712672 is an abundant number, since it is smaller than the sum of its proper divisors (138008886048).

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

57449712672 is a wasteful number, since it uses less digits than its factorization.

57449712672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 821 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 57449712672 in words is "fifty-seven billion, four hundred forty-nine million, seven hundred twelve thousand, six hundred seventy-two".