10000897632 has 480 divisors, whose sum is σ = 34775516160. Its totient is φ = 2785259520.

The previous prime is 10000897591. The next prime is 10000897637. The reversal of 10000897632 is 23679800001.

10000897632 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 8 + 9 + 7 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000897637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22780869 + ... + 22781307.

It is an arithmetic number, because the mean of its divisors is an integer number (72448992).

Almost surely, 2^10000897632 is an apocalyptic number.

10000897632 is a gapful number since it is divisible by the number (12) 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 10000897632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387758080).

10000897632 is an abundant number, since it is smaller than the sum of its proper divisors (24774618528).

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

10000897632 is a wasteful number, since it uses less digits than its factorization.

10000897632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10000897632 in words is "ten billion, eight hundred ninety-seven thousand, six hundred thirty-two".