630867146996736 has 1056 divisors, whose sum is σ = 2063213541695488. Its totient is φ = 191382702981120.

The previous prime is 630867146996711. The next prime is 630867146996753. The reversal of 630867146996736 is 637699641768036.

630867146996736 is a `hidden beast` number, since 6 + 3 + 0 + 8 + 67 + 1 + 469 + 9 + 67 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66963921306 + ... + 66963930726.

Almost surely, 2^{630867146996736} 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 630867146996736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031606770847744).

630867146996736 is an abundant number, since it is smaller than the sum of its proper divisors (1432346394698752).

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

630867146996736 is a wasteful number, since it uses less digits than its factorization.

630867146996736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 8888527872, while the sum is 81.

The spelling of 630867146996736 in words is "six hundred thirty trillion, eight hundred sixty-seven billion, one hundred forty-six million, nine hundred ninety-six thousand, seven hundred thirty-six".