8476372800 has 756 divisors, whose sum is σ = 36023030316. Its totient is φ = 1883750400.

The previous prime is 8476372799. The next prime is 8476372847. The reversal of 8476372800 is 82736748.

It is a happy number.

8476372800 is a `hidden beast` number, since 8 + 4 + 7 + 637 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 185177664 + 8291195136 = 13608^2 + 91056^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28929454 + ... + 28929746.

It is an arithmetic number, because the mean of its divisors is an integer number (47649511).

Almost surely, 2^8476372800 is an apocalyptic number.

8476372800 is a gapful number since it is divisible by the number (80) 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 8476372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18011515158).

8476372800 is an abundant number, since it is smaller than the sum of its proper divisors (27546657516).

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

8476372800 is a wasteful number, since it uses less digits than its factorization.

8476372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 8476372800 is about 92067.2189218291. The cubic root of 8476372800 is about 2038.9348534090.

The spelling of 8476372800 in words is "eight billion, four hundred seventy-six million, three hundred seventy-two thousand, eight hundred".