10674609792 has 256 divisors, whose sum is σ = 37213516800. Its totient is φ = 2626560000.

The previous prime is 10674609769. The next prime is 10674609821. The reversal of 10674609792 is 29790647601.

It is a super-2 number, since 2×10674609792² (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 31 ways as a sum of consecutive naturals, for example, 552292 + ... + 571292.

It is an arithmetic number, because the mean of its divisors is an integer number (145365300).

Almost surely, 2^10674609792 is an apocalyptic number.

10674609792 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 10674609792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18606758400).

10674609792 is an abundant number, since it is smaller than the sum of its proper divisors (26538907008).

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

10674609792 is a wasteful number, since it uses less digits than its factorization.

10674609792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19055 (or 19043 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 10674609792 in words is "ten billion, six hundred seventy-four million, six hundred nine thousand, seven hundred ninety-two".