480882430750656 has 224 divisors, whose sum is σ = 1414942031842560. Its totient is φ = 142907730739200.

The previous prime is 480882430750649. The next prime is 480882430750817. The reversal of 480882430750656 is 656057034288084.

It is a super-3 number, since 3×480882430750656³ (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37878355 + ... + 48954413.

Almost surely, 2^{480882430750656} 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 480882430750656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707471015921280).

480882430750656 is an abundant number, since it is smaller than the sum of its proper divisors (934059601091904).

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

480882430750656 is a wasteful number, since it uses less digits than its factorization.

480882430750656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11076483 (or 11076473 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 66.

The spelling of 480882430750656 in words is "four hundred eighty trillion, eight hundred eighty-two billion, four hundred thirty million, seven hundred fifty thousand, six hundred fifty-six".