474518116800 has 2268 divisors, whose sum is σ = 2256953123880. Its totient is φ = 93702389760.

The previous prime is 474518116799. The next prime is 474518116811. The reversal of 474518116800 is 8611815474.

474518116800 is a `hidden beast` number, since 4 + 7 + 451 + 8 + 116 + 80 + 0 = 666.

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 323 ways as a sum of consecutive naturals, for example, 2650939111 + ... + 2650939289.

Almost surely, 2^474518116800 is an apocalyptic number.

474518116800 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 474518116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128476561940).

474518116800 is an abundant number, since it is smaller than the sum of its proper divisors (1782435007080).

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

474518116800 is a wasteful number, since it uses less digits than its factorization.

474518116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 474518116800 in words is "four hundred seventy-four billion, five hundred eighteen million, one hundred sixteen thousand, eight hundred".