10692772608 has 288 divisors, whose sum is σ = 34896476160. Its totient is φ = 2837053440.

The previous prime is 10692772577. The next prime is 10692772621. The reversal of 10692772608 is 80627729601.

It is a super-2 number, since 2×10692772608² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7219228 + ... + 7220708.

It is an arithmetic number, because the mean of its divisors is an integer number (121168320).

Almost surely, 2^10692772608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10692772608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448238080).

10692772608 is an abundant number, since it is smaller than the sum of its proper divisors (24203703552).

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

10692772608 is a wasteful number, since it uses less digits than its factorization.

10692772608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 10692772608 in words is "ten billion, six hundred ninety-two million, seven hundred seventy-two thousand, six hundred eight".