10064467200 has 432 divisors, whose sum is σ = 35767710720. Its totient is φ = 2484264960.

The previous prime is 10064467183. The next prime is 10064467253. The reversal of 10064467200 is 276446001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17145307 + ... + 17145893.

Almost surely, 2^10064467200 is an apocalyptic number.

10064467200 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 10064467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17883855360).

10064467200 is an abundant number, since it is smaller than the sum of its proper divisors (25703243520).

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

10064467200 is a wasteful number, since it uses less digits than its factorization.

10064467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 10064467200 in words is "ten billion, sixty-four million, four hundred sixty-seven thousand, two hundred".