10633980672 has 360 divisors, whose sum is σ = 36863147552. Its totient is φ = 2985984000.

The previous prime is 10633980659. The next prime is 10633980683. The reversal of 10633980672 is 27608933601.

10633980672 is a `hidden beast` number, since 1 + 0 + 633 + 9 + 8 + 0 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×10633980672² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8853672 + ... + 8854872.

Almost surely, 2^10633980672 is an apocalyptic number.

10633980672 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 10633980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431573776).

10633980672 is an abundant number, since it is smaller than the sum of its proper divisors (26229166880).

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

10633980672 is an equidigital number, since it uses as much as digits as its factorization.

10633980672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 10633980672 in words is "ten billion, six hundred thirty-three million, nine hundred eighty thousand, six hundred seventy-two".