57634419048 has 128 divisors (see below), whose sum is σ = 158006661120. Its totient is φ = 17439943680.

The previous prime is 57634418993. The next prime is 57634419067. The reversal of 57634419048 is 84091443675.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3875515 + ... + 3890357.

It is an arithmetic number, because the mean of its divisors is an integer number (1234427040).

Almost surely, 2^57634419048 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 57634419048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79003330560).

57634419048 is an abundant number, since it is smaller than the sum of its proper divisors (100372242072).

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

57634419048 is a wasteful number, since it uses less digits than its factorization.

57634419048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15207 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 57634419048 in words is "fifty-seven billion, six hundred thirty-four million, four hundred nineteen thousand, forty-eight".