10674792800 has 288 divisors, whose sum is σ = 32127943680. Its totient is φ = 3381350400.

The previous prime is 10674792773. The next prime is 10674792839. The reversal of 10674792800 is 829747601.

It is a super-2 number, since 2×10674792800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4361177 + ... + 4363623.

It is an arithmetic number, because the mean of its divisors is an integer number (111555360).

Almost surely, 2^10674792800 is an apocalyptic number.

10674792800 is a gapful number since it is divisible by the number (10) 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 10674792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063971840).

10674792800 is an abundant number, since it is smaller than the sum of its proper divisors (21453150880).

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

10674792800 is a wasteful number, since it uses less digits than its factorization.

10674792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 10674792800 in words is "ten billion, six hundred seventy-four million, seven hundred ninety-two thousand, eight hundred".