10004362368 has 512 divisors, whose sum is σ = 37803386880. Its totient is φ = 2256076800.

The previous prime is 10004362363. The next prime is 10004362373. The reversal of 10004362368 is 86326340001.

It is an interprime number because it is at equal distance from previous prime (10004362363) and next prime (10004362373).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10004362363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6533763 + ... + 6535293.

It is an arithmetic number, because the mean of its divisors is an integer number (73834740).

Almost surely, 2^10004362368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004362368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901693440).

10004362368 is an abundant number, since it is smaller than the sum of its proper divisors (27799024512).

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

10004362368 is a wasteful number, since it uses less digits than its factorization.

10004362368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 10004362368 in words is "ten billion, four million, three hundred sixty-two thousand, three hundred sixty-eight".