10076236800 has 264 divisors, whose sum is σ = 38062016256. Its totient is φ = 2303016960.

The previous prime is 10076236783. The next prime is 10076236801. The reversal of 10076236800 is 863267001.

It is not an unprimeable number, because it can be changed into a prime (10076236801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528229 + ... + 546971.

It is an arithmetic number, because the mean of its divisors is an integer number (144174304).

Almost surely, 2^10076236800 is an apocalyptic number.

10076236800 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 10076236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19031008128).

10076236800 is an abundant number, since it is smaller than the sum of its proper divisors (27985779456).

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

10076236800 is a wasteful number, since it uses less digits than its factorization.

10076236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18783 (or 18760 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10076236800 in words is "ten billion, seventy-six million, two hundred thirty-six thousand, eight hundred".