10674316800 has 1080 divisors, whose sum is σ = 46622676672. Its totient is φ = 2322432000.

The previous prime is 10674316799. The next prime is 10674316801. The reversal of 10674316800 is 861347601.

It is an interprime number because it is at equal distance from previous prime (10674316799) and next prime (10674316801).

It is a super-2 number, since 2×10674316800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10674316801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 174988770 + ... + 174988830.

Almost surely, 2^10674316800 is an apocalyptic number.

10674316800 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 10674316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23311338336).

10674316800 is an abundant number, since it is smaller than the sum of its proper divisors (35948359872).

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

10674316800 is a wasteful number, since it uses less digits than its factorization.

10674316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10674316800 in words is "ten billion, six hundred seventy-four million, three hundred sixteen thousand, eight hundred".