57438067680 has 384 divisors, whose sum is σ = 235361064960. Its totient is φ = 12808212480.

The previous prime is 57438067679. The next prime is 57438067691. The reversal of 57438067680 is 8676083475.

57438067680 is a `hidden beast` number, since 574 + 3 + 8 + 0 + 6 + 7 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216677 + ... + 1263003.

It is an arithmetic number, because the mean of its divisors is an integer number (612919440).

Almost surely, 2^57438067680 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 57438067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117680532480).

57438067680 is an abundant number, since it is smaller than the sum of its proper divisors (177922997280).

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

57438067680 is a wasteful number, since it uses less digits than its factorization.

57438067680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46399 (or 46385 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 57438067680 in words is "fifty-seven billion, four hundred thirty-eight million, sixty-seven thousand, six hundred eighty".