57467664384 has 192 divisors, whose sum is σ = 165902929920. Its totient is φ = 17585111040.

The previous prime is 57467664379. The next prime is 57467664407. The reversal of 57467664384 is 48346676475.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15253669 + ... + 15257435.

It is an arithmetic number, because the mean of its divisors is an integer number (864077760).

Almost surely, 2^57467664384 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 57467664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82951464960).

57467664384 is an abundant number, since it is smaller than the sum of its proper divisors (108435265536).

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

57467664384 is a wasteful number, since it uses less digits than its factorization.

57467664384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3976 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 60.

The spelling of 57467664384 in words is "fifty-seven billion, four hundred sixty-seven million, six hundred sixty-four thousand, three hundred eighty-four".