57348421632 has 384 divisors, whose sum is σ = 176432256000. Its totient is φ = 18393661440.

The previous prime is 57348421609. The next prime is 57348421661. The reversal of 57348421632 is 23612484375.

57348421632 is a `hidden beast` number, since 5 + 7 + 3 + 4 + 8 + 4 + 2 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 211617657 + ... + 211617927.

It is an arithmetic number, because the mean of its divisors is an integer number (459459000).

Almost surely, 2^57348421632 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 57348421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88216128000).

57348421632 is an abundant number, since it is smaller than the sum of its proper divisors (119083834368).

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

57348421632 is a wasteful number, since it uses less digits than its factorization.

57348421632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 408 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 57348421632 in words is "fifty-seven billion, three hundred forty-eight million, four hundred twenty-one thousand, six hundred thirty-two".