10467504000 has 384 divisors, whose sum is σ = 37912567680. Its totient is φ = 2767564800.

The previous prime is 10467503999. The next prime is 10467504011. The reversal of 10467504000 is 40576401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22607769 + ... + 22608231.

It is an arithmetic number, because the mean of its divisors is an integer number (98730645).

Almost surely, 2^10467504000 is an apocalyptic number.

10467504000 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 10467504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18956283840).

10467504000 is an abundant number, since it is smaller than the sum of its proper divisors (27445063680).

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

10467504000 is a wasteful number, since it uses less digits than its factorization.

10467504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10467504000 in words is "ten billion, four hundred sixty-seven million, five hundred four thousand".