10163630400 has 672 divisors, whose sum is σ = 42125018112. Its totient is φ = 2084044800.

The previous prime is 10163630363. The next prime is 10163630417. The reversal of 10163630400 is 403636101.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39547072 + ... + 39547328.

Almost surely, 2^10163630400 is an apocalyptic number.

10163630400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10163630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062509056).

10163630400 is an abundant number, since it is smaller than the sum of its proper divisors (31961387712).

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

10163630400 is a wasteful number, since it uses less digits than its factorization.

10163630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 10163630400 in words is "ten billion, one hundred sixty-three million, six hundred thirty thousand, four hundred".