10476748800 has 864 divisors, whose sum is σ = 45162134550. Its totient is φ = 2312110080.

The previous prime is 10476748759. The next prime is 10476748813. The reversal of 10476748800 is 884767401.

10476748800 is a `hidden beast` number, since 104 + 7 + 67 + 488 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7868399616 + 2608349184 = 88704^2 + 51072^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 361267186 + ... + 361267214.

Almost surely, 2^10476748800 is an apocalyptic number.

10476748800 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 10476748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22581067275).

10476748800 is an abundant number, since it is smaller than the sum of its proper divisors (34685385750).

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

10476748800 is an equidigital number, since it uses as much as digits as its factorization.

10476748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 10476748800 in words is "ten billion, four hundred seventy-six million, seven hundred forty-eight thousand, eight hundred".