10479002688 has 504 divisors, whose sum is σ = 38618501376. Its totient is φ = 2658078720.

The previous prime is 10479002663. The next prime is 10479002711. The reversal of 10479002688 is 88620097401.

It is a Cunningham number, because it is equal to 102367²-1.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×10479002688² (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 71 ways as a sum of consecutive naturals, for example, 22929756 + ... + 22930212.

Almost surely, 2^10479002688 is an apocalyptic number.

10479002688 is a gapful number since it is divisible by the number (18) 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 10479002688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19309250688).

10479002688 is an abundant number, since it is smaller than the sum of its proper divisors (28139498688).

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

10479002688 is a wasteful number, since it uses less digits than its factorization.

10479002688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10479002688 in words is "ten billion, four hundred seventy-nine million, two thousand, six hundred eighty-eight".