10756677204 has 240 divisors, whose sum is σ = 34875042048. Its totient is φ = 2815160832.

The previous prime is 10756677199. The next prime is 10756677229. The reversal of 10756677204 is 40277665701.

10756677204 is a `hidden beast` number, since 10 + 7 + 566 + 7 + 72 + 0 + 4 = 666.

It is a super-2 number, since 2×10756677204² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10756677204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4037977 + ... + 4040639.

Almost surely, 2^10756677204 is an apocalyptic number.

10756677204 is a gapful number since it is divisible by the number (14) 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 10756677204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437521024).

10756677204 is an abundant number, since it is smaller than the sum of its proper divisors (24118364844).

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

10756677204 is a wasteful number, since it uses less digits than its factorization.

10756677204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 10756677204 in words is "ten billion, seven hundred fifty-six million, six hundred seventy-seven thousand, two hundred four".