10604462400 has 1008 divisors, whose sum is σ = 46677072000. Its totient is φ = 2275983360.

The previous prime is 10604462399. The next prime is 10604462437. The reversal of 10604462400 is 426440601.

10604462400 is a `hidden beast` number, since 10 + 604 + 4 + 6 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10604462400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93844744 + ... + 93844856.

Almost surely, 2^10604462400 is an apocalyptic number.

10604462400 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 10604462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23338536000).

10604462400 is an abundant number, since it is smaller than the sum of its proper divisors (36072609600).

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

10604462400 is a wasteful number, since it uses less digits than its factorization.

10604462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 10604462400 in words is "ten billion, six hundred four million, four hundred sixty-two thousand, four hundred".