10645034400 has 1296 divisors, whose sum is σ = 51542513568. Its totient is φ = 2032128000.

The previous prime is 10645034357. The next prime is 10645034401. The reversal of 10645034400 is 443054601.

10645034400 is a `hidden beast` number, since 10 + 645 + 0 + 3 + 4 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×10645034400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645034401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50450295 + ... + 50450505.

It is an arithmetic number, because the mean of its divisors is an integer number (39770458).

Almost surely, 2^10645034400 is an apocalyptic number.

10645034400 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 10645034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25771256784).

10645034400 is an abundant number, since it is smaller than the sum of its proper divisors (40897479168).

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

10645034400 is a wasteful number, since it uses less digits than its factorization.

10645034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 10645034400 in words is "ten billion, six hundred forty-five million, thirty-four thousand, four hundred".