10645862400 has 720 divisors, whose sum is σ = 42025903920. Its totient is φ = 2654208000.

The previous prime is 10645862399. The next prime is 10645862411. The reversal of 10645862400 is 426854601.

10645862400 is a `hidden beast` number, since 1 + 0 + 645 + 8 + 6 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10645862400² (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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70502325 + ... + 70502475.

It is an arithmetic number, because the mean of its divisors is an integer number (58369311).

Almost surely, 2^10645862400 is an apocalyptic number.

10645862400 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 10645862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012951960).

10645862400 is an abundant number, since it is smaller than the sum of its proper divisors (31380041520).

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

10645862400 is a wasteful number, since it uses less digits than its factorization.

10645862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10645862400 in words is "ten billion, six hundred forty-five million, eight hundred sixty-two thousand, four hundred".