630873735036480 has 560 divisors, whose sum is σ = 2418449593855680. Its totient is φ = 155183053934592.

The previous prime is 630873735036469. The next prime is 630873735036499. The reversal of 630873735036480 is 84630537378036.

630873735036480 is a `hidden beast` number, since 6 + 3 + 0 + 8 + 7 + 3 + 73 + 50 + 36 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 480185911 + ... + 481497929.

It is an arithmetic number, because the mean of its divisors is an integer number (4318659989028).

Almost surely, 2^{630873735036480} is an apocalyptic number.

630873735036480 is a gapful number since it is divisible by the number (60) 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 630873735036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209224796927840).

630873735036480 is an abundant number, since it is smaller than the sum of its proper divisors (1787575858819200).

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

630873735036480 is a wasteful number, since it uses less digits than its factorization.

630873735036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313488 (or 1313469 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 630873735036480 in words is "six hundred thirty trillion, eight hundred seventy-three billion, seven hundred thirty-five million, thirty-six thousand, four hundred eighty".