10057634730 has 320 divisors, whose sum is σ = 32808416256. Its totient is φ = 2177280000.

The previous prime is 10057634711. The next prime is 10057634753. The reversal of 10057634730 is 3743675001.

10057634730 is a `hidden beast` number, since 10 + 0 + 5 + 7 + 634 + 7 + 3 + 0 = 666.

10057634730 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3589330 + ... + 3592130.

Almost surely, 2^10057634730 is an apocalyptic number.

10057634730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10057634730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404208128).

10057634730 is an abundant number, since it is smaller than the sum of its proper divisors (22750781526).

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

10057634730 is a wasteful number, since it uses less digits than its factorization.

10057634730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 10057634730 in words is "ten billion, fifty-seven million, six hundred thirty-four thousand, seven hundred thirty".