4677472800 has 1296 divisors, whose sum is σ = 22691672640. Its totient is φ = 881971200.

The previous prime is 4677472781. The next prime is 4677472819. The reversal of 4677472800 is 82747764.

It is an interprime number because it is at equal distance from previous prime (4677472781) and next prime (4677472819).

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 215 ways as a sum of consecutive naturals, for example, 79279171 + ... + 79279229.

Almost surely, 2^4677472800 is an apocalyptic number.

4677472800 is a gapful number since it is divisible by the number (40) 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 4677472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11345836320).

4677472800 is an abundant number, since it is smaller than the sum of its proper divisors (18014199840).

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

4677472800 is a wasteful number, since it uses less digits than its factorization.

4677472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 4677472800 is about 68392.0521698245. The cubic root of 4677472800 is about 1672.3881831846.

The spelling of 4677472800 in words is "four billion, six hundred seventy-seven million, four hundred seventy-two thousand, eight hundred".