630374330880 has 1280 divisors, whose sum is σ = 2686028083200. Its totient is φ = 137116385280.

The previous prime is 630374330867. The next prime is 630374330891. The reversal of 630374330880 is 88033473036.

630374330880 is a `hidden beast` number, since 6 + 303 + 7 + 4 + 330 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 853009551 + ... + 853010289.

It is an arithmetic number, because the mean of its divisors is an integer number (2098459440).

Almost surely, 2^630374330880 is an apocalyptic number.

630374330880 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 630374330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343014041600).

630374330880 is an abundant number, since it is smaller than the sum of its proper divisors (2055653752320).

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

630374330880 is a wasteful number, since it uses less digits than its factorization.

630374330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 630374330880 in words is "six hundred thirty billion, three hundred seventy-four million, three hundred thirty thousand, eight hundred eighty".