10676790432 has 576 divisors, whose sum is σ = 40577531904. Its totient is φ = 2577899520.

The previous prime is 10676790409. The next prime is 10676790511. The reversal of 10676790432 is 23409767601.

10676790432 is a `hidden beast` number, since 10 + 67 + 67 + 90 + 432 = 666.

It is a super-2 number, since 2×10676790432² (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 95 ways as a sum of consecutive naturals, for example, 47877873 + ... + 47878095.

It is an arithmetic number, because the mean of its divisors is an integer number (70447104).

Almost surely, 2^10676790432 is an apocalyptic number.

10676790432 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 10676790432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20288765952).

10676790432 is an abundant number, since it is smaller than the sum of its proper divisors (29900741472).

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

10676790432 is a wasteful number, since it uses less digits than its factorization.

10676790432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

It can be divided in two parts, 10676 and 790432, that added together give a palindrome (801108).

The spelling of 10676790432 in words is "ten billion, six hundred seventy-six million, seven hundred ninety thousand, four hundred thirty-two".