10064964000 has 576 divisors, whose sum is σ = 40862465280. Its totient is φ = 2120601600.

The previous prime is 10064963999. The next prime is 10064964011. The reversal of 10064964000 is 46946001.

10064964000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14195646 + ... + 14196354.

It is an arithmetic number, because the mean of its divisors is an integer number (70941780).

Almost surely, 2^10064964000 is an apocalyptic number.

10064964000 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 10064964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20431232640).

10064964000 is an abundant number, since it is smaller than the sum of its proper divisors (30797501280).

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

10064964000 is a wasteful number, since it uses less digits than its factorization.

10064964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10064964000 in words is "ten billion, sixty-four million, nine hundred sixty-four thousand".