57780674432 has 256 divisors, whose sum is σ = 134010374400. Its totient is φ = 24593891328.

The previous prime is 57780674407. The next prime is 57780674443. The reversal of 57780674432 is 23447608775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254540303 + ... + 254540529.

It is an arithmetic number, because the mean of its divisors is an integer number (523478025).

Almost surely, 2^57780674432 is an apocalyptic number.

57780674432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57780674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67005187200).

57780674432 is an abundant number, since it is smaller than the sum of its proper divisors (76229699968).

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

57780674432 is a wasteful number, since it uses less digits than its factorization.

57780674432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 53.

The spelling of 57780674432 in words is "fifty-seven billion, seven hundred eighty million, six hundred seventy-four thousand, four hundred thirty-two".