10634061600 has 108 divisors (see below), whose sum is σ = 37498385106. Its totient is φ = 2835747840.

The previous prime is 10634061587. The next prime is 10634061601. The reversal of 10634061600 is 616043601.

10634061600 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 40 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9975215376 + 658846224 = 99876^2 + 25668^2 .

It is a super-2 number, since 2×10634061600² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10634061601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 731277 + ... + 745676.

Almost surely, 2^10634061600 is an apocalyptic number.

10634061600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10634061600 is an abundant number, since it is smaller than the sum of its proper divisors (26864323506).

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

10634061600 is a wasteful number, since it uses less digits than its factorization.

10634061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476979 (or 1476963 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10634061600 in words is "ten billion, six hundred thirty-four million, sixty-one thousand, six hundred".