10604714400 has 432 divisors, whose sum is σ = 44325537984. Its totient is φ = 2423623680.

The previous prime is 10604714399. The next prime is 10604714413. The reversal of 10604714400 is 441740601.

10604714400 is a `hidden beast` number, since 1 + 0 + 604 + 7 + 14 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10604714400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1356904 + ... + 1364696.

It is an arithmetic number, because the mean of its divisors is an integer number (102605412).

Almost surely, 2^10604714400 is an apocalyptic number.

10604714400 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 10604714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22162768992).

10604714400 is an abundant number, since it is smaller than the sum of its proper divisors (33720823584).

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

10604714400 is an equidigital number, since it uses as much as digits as its factorization.

10604714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7835 (or 7810 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10604714400 in words is "ten billion, six hundred four million, seven hundred fourteen thousand, four hundred".