480537076483674 has 192 divisors, whose sum is σ = 1204908187392000. Its totient is φ = 135577227603456.

The previous prime is 480537076483669. The next prime is 480537076483699. The reversal of 480537076483674 is 476384670735084.

480537076483674 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 3 + 7 + 0 + 76 + 483 + 6 + 74 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3068700972 + ... + 3068857560.

It is an arithmetic number, because the mean of its divisors is an integer number (6275563476000).

Almost surely, 2^{480537076483674} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480537076483674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602454093696000).

480537076483674 is an abundant number, since it is smaller than the sum of its proper divisors (724371110908326).

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

480537076483674 is a wasteful number, since it uses less digits than its factorization.

480537076483674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157709 (or 157706 counting only the distinct ones).

The product of its (nonzero) digits is 2275983360, while the sum is 72.

The spelling of 480537076483674 in words is "four hundred eighty trillion, five hundred thirty-seven billion, seventy-six million, four hundred eighty-three thousand, six hundred seventy-four".