474956788320 has 576 divisors, whose sum is σ = 1996159334400. Its totient is φ = 105058114560.

The previous prime is 474956788309. The next prime is 474956788321. The reversal of 474956788320 is 23887659474.

474956788320 is a `hidden beast` number, since 4 + 7 + 49 + 567 + 8 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474956788321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6525891 + ... + 6598269.

It is an arithmetic number, because the mean of its divisors is an integer number (3465554400).

Almost surely, 2^474956788320 is an apocalyptic number.

474956788320 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 474956788320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998079667200).

474956788320 is an abundant number, since it is smaller than the sum of its proper divisors (1521202546080).

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

474956788320 is a wasteful number, since it uses less digits than its factorization.

474956788320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72448 (or 72427 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 474956788320 in words is "four hundred seventy-four billion, nine hundred fifty-six million, seven hundred eighty-eight thousand, three hundred twenty".