630290654628768 has 1152 divisors, whose sum is σ = 2212719866413056. Its totient is φ = 172697277312000.

The previous prime is 630290654628727. The next prime is 630290654628781. The reversal of 630290654628768 is 867826456092036.

630290654628768 is a `hidden beast` number, since 6 + 3 + 0 + 2 + 9 + 0 + 6 + 546 + 2 + 8 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 630290654628696 and 630290654628705.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 310947534571 + ... + 310947536597.

It is an arithmetic number, because the mean of its divisors is an integer number (1920763772928).

Almost surely, 2^{630290654628768} 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 630290654628768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106359933206528).

630290654628768 is an abundant number, since it is smaller than the sum of its proper divisors (1582429211784288).

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

630290654628768 is a wasteful number, since it uses less digits than its factorization.

630290654628768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 630290654628768 in words is "six hundred thirty trillion, two hundred ninety billion, six hundred fifty-four million, six hundred twenty-eight thousand, seven hundred sixty-eight".