630375685632 has 960 divisors, whose sum is σ = 2434419187200. Its totient is φ = 158018273280.

The previous prime is 630375685627. The next prime is 630375685663. The reversal of 630375685632 is 236586573036.

It is a happy number.

630375685632 is a `hidden beast` number, since 6 + 3 + 0 + 3 + 75 + 6 + 8 + 563 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 277819794 + ... + 277822062.

It is an arithmetic number, because the mean of its divisors is an integer number (2535853320).

Almost surely, 2^630375685632 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 630375685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217209593600).

630375685632 is an abundant number, since it is smaller than the sum of its proper divisors (1804043501568).

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

630375685632 is a wasteful number, since it uses less digits than its factorization.

630375685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 630375685632 in words is "six hundred thirty billion, three hundred seventy-five million, six hundred eighty-five thousand, six hundred thirty-two".