10140763600 has 240 divisors, whose sum is σ = 28277386560. Its totient is φ = 3456000000.

The previous prime is 10140763597. The next prime is 10140763631. The reversal of 10140763600 is 636704101.

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, 8443000 + ... + 8444200.

It is an arithmetic number, because the mean of its divisors is an integer number (117822444).

Almost surely, 2^10140763600 is an apocalyptic number.

10140763600 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 10140763600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138693280).

10140763600 is an abundant number, since it is smaller than the sum of its proper divisors (18136622960).

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

10140763600 is a wasteful number, since it uses less digits than its factorization.

10140763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 10140763600 in words is "ten billion, one hundred forty million, seven hundred sixty-three thousand, six hundred".