10464429600 has 432 divisors, whose sum is σ = 39850574400. Its totient is φ = 2575964160.

The previous prime is 10464429593. The next prime is 10464429617. The reversal of 10464429600 is 692446401.

10464429600 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 4 + 42 + 9 + 600 = 666.

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

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, 4801311 + ... + 4803489.

It is an arithmetic number, because the mean of its divisors is an integer number (92246700).

Almost surely, 2^10464429600 is an apocalyptic number.

10464429600 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 10464429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925287200).

10464429600 is an abundant number, since it is smaller than the sum of its proper divisors (29386144800).

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

10464429600 is a wasteful number, since it uses less digits than its factorization.

10464429600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10464429600 in words is "ten billion, four hundred sixty-four million, four hundred twenty-nine thousand, six hundred".