479100897792 has 480 divisors, whose sum is σ = 1595308102080. Its totient is φ = 141784473600.

The previous prime is 479100897787. The next prime is 479100897797. The reversal of 479100897792 is 297798001974.

479100897792 is a `hidden beast` number, since 479 + 1 + 0 + 0 + 8 + 9 + 77 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (479100897787) and next prime (479100897797).

It is not an unprimeable number, because it can be changed into a prime (479100897797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71922942 + ... + 71929602.

It is an arithmetic number, because the mean of its divisors is an integer number (3323558546).

Almost surely, 2^479100897792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479100897792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797654051040).

479100897792 is an abundant number, since it is smaller than the sum of its proper divisors (1116207204288).

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

479100897792 is a wasteful number, since it uses less digits than its factorization.

479100897792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 479100897792 in words is "four hundred seventy-nine billion, one hundred million, eight hundred ninety-seven thousand, seven hundred ninety-two".