630081275904 has 480 divisors, whose sum is σ = 2027565540000. Its totient is φ = 194303950848.

The previous prime is 630081275843. The next prime is 630081275927. The reversal of 630081275904 is 409572180036.

630081275904 is a `hidden beast` number, since 6 + 30 + 0 + 8 + 1 + 27 + 590 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 630081275904.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135528172 + ... + 135532820.

It is an arithmetic number, because the mean of its divisors is an integer number (4224094875).

It is a 1-persistent number, because it is pandigital, but 2⋅630081275904 = 1260162551808 is not.

Almost surely, 2^630081275904 is an apocalyptic number.

630081275904 is a gapful number since it is divisible by the number (64) 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 630081275904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013782770000).

630081275904 is an abundant number, since it is smaller than the sum of its proper divisors (1397484264096).

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

630081275904 is a wasteful number, since it uses less digits than its factorization.

630081275904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 630081275904 in words is "six hundred thirty billion, eighty-one million, two hundred seventy-five thousand, nine hundred four".