630397674240 has 288 divisors, whose sum is σ = 2138080250880. Its totient is φ = 157846929408.

The previous prime is 630397674239. The next prime is 630397674251. The reversal of 630397674240 is 42476793036.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8206249 + ... + 8282711.

It is an arithmetic number, because the mean of its divisors is an integer number (7423889760).

Almost surely, 2^630397674240 is an apocalyptic number.

630397674240 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 630397674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069040125440).

630397674240 is an abundant number, since it is smaller than the sum of its proper divisors (1507682576640).

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

630397674240 is a wasteful number, since it uses less digits than its factorization.

630397674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76619 (or 76605 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 51.

The spelling of 630397674240 in words is "six hundred thirty billion, three hundred ninety-seven million, six hundred seventy-four thousand, two hundred forty".