57678247452672 has 896 divisors, whose sum is σ = 216060576768000. Its totient is φ = 14770048204800.

The previous prime is 57678247452641. The next prime is 57678247452673. The reversal of 57678247452672 is 27625474287675.

57678247452672 is a `hidden beast` number, since 5 + 7 + 6 + 7 + 8 + 24 + 7 + 4 + 526 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 57678247452672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57678247452673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1209189079 + ... + 1209236777.

Almost surely, 2^{57678247452672} 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 57678247452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108030288384000).

57678247452672 is an abundant number, since it is smaller than the sum of its proper divisors (158382329315328).

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

57678247452672 is a wasteful number, since it uses less digits than its factorization.

57678247452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47823 (or 47793 counting only the distinct ones).

The product of its digits is 2212761600, while the sum is 72.

It can be divided in two parts, 5767824 and 7452672, that added together give a square (13220496 = 3636²).

The spelling of 57678247452672 in words is "fifty-seven trillion, six hundred seventy-eight billion, two hundred forty-seven million, four hundred fifty-two thousand, six hundred seventy-two".