630085372263648 has 768 divisors, whose sum is σ = 2270754741104640. Its totient is φ = 166060427968512.

The previous prime is 630085372263593. The next prime is 630085372263667. The reversal of 630085372263648 is 846362273580036.

630085372263648 is a `hidden beast` number, since 6 + 3 + 0 + 0 + 8 + 537 + 2 + 26 + 36 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 581052136 + ... + 582135512.

It is an arithmetic number, because the mean of its divisors is an integer number (2956711902480).

Almost surely, 2^{630085372263648} 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 630085372263648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135377370552320).

630085372263648 is an abundant number, since it is smaller than the sum of its proper divisors (1640669368840992).

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

630085372263648 is a wasteful number, since it uses less digits than its factorization.

630085372263648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083576 (or 1083562 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 630085372263648 in words is "six hundred thirty trillion, eighty-five billion, three hundred seventy-two million, two hundred sixty-three thousand, six hundred forty-eight".