10737806400 has 252 divisors, whose sum is σ = 38651891200. Its totient is φ = 2826869760.

The previous prime is 10737806377. The next prime is 10737806489. The reversal of 10737806400 is 460873701.

10737806400 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 7 + 8 + 0 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1132881 + ... + 1142319.

Almost surely, 2^10737806400 is an apocalyptic number.

10737806400 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 10737806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19325945600).

10737806400 is an abundant number, since it is smaller than the sum of its proper divisors (27914084800).

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

10737806400 is a wasteful number, since it uses less digits than its factorization.

10737806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9546 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10737806400 in words is "ten billion, seven hundred thirty-seven million, eight hundred six thousand, four hundred".