10633165696 has 64 divisors (see below), whose sum is σ = 22574868480. Its totient is φ = 4977161728.

The previous prime is 10633165691. The next prime is 10633165727. The reversal of 10633165696 is 69656133601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10633165696² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10633165691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99945 + ... + 176791.

It is an arithmetic number, because the mean of its divisors is an integer number (352732320).

Almost surely, 2^10633165696 is an apocalyptic number.

10633165696 is a gapful number since it is divisible by the number (16) 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 10633165696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11287434240).

10633165696 is an abundant number, since it is smaller than the sum of its proper divisors (11941702784).

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

10633165696 is an equidigital number, since it uses as much as digits as its factorization.

10633165696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76931 (or 76919 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 10633165696 in words is "ten billion, six hundred thirty-three million, one hundred sixty-five thousand, six hundred ninety-six".