10376906400 has 648 divisors, whose sum is σ = 43299416160. Its totient is φ = 2331141120.

The previous prime is 10376906387. The next prime is 10376906401. The reversal of 10376906400 is 460967301.

10376906400 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 6 + 9 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10376906401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23637381 + ... + 23637819.

Almost surely, 2^10376906400 is an apocalyptic number.

10376906400 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 10376906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21649708080).

10376906400 is an abundant number, since it is smaller than the sum of its proper divisors (32922509760).

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

10376906400 is a wasteful number, since it uses less digits than its factorization.

10376906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10376906400 in words is "ten billion, three hundred seventy-six million, nine hundred six thousand, four hundred".