630766106256 has 240 divisors, whose sum is σ = 1927337213952. Its totient is φ = 176212108800.

The previous prime is 630766106249. The next prime is 630766106279. The reversal of 630766106256 is 652601667036.

630766106256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77003121 + ... + 77011311.

Almost surely, 2^630766106256 is an apocalyptic number.

630766106256 is a gapful number since it is divisible by the number (66) 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 630766106256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963668606976).

630766106256 is an abundant number, since it is smaller than the sum of its proper divisors (1296571107696).

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

630766106256 is a wasteful number, since it uses less digits than its factorization.

630766106256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9102 (or 9083 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 630766106256 in words is "six hundred thirty billion, seven hundred sixty-six million, one hundred six thousand, two hundred fifty-six".