630679633920 has 1536 divisors, whose sum is σ = 2711425167360. Its totient is φ = 137594142720.

The previous prime is 630679633897. The next prime is 630679633921. The reversal of 630679633920 is 29336976036.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630679633921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8639447004 + ... + 8639447076.

It is an arithmetic number, because the mean of its divisors is an integer number (1765250760).

Almost surely, 2^630679633920 is an apocalyptic number.

630679633920 is a gapful number since it is divisible by the number (60) 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 630679633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355712583680).

630679633920 is an abundant number, since it is smaller than the sum of its proper divisors (2080745533440).

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

630679633920 is an frugal number, since it uses more digits than its factorization.

630679633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 54.

The spelling of 630679633920 in words is "six hundred thirty billion, six hundred seventy-nine million, six hundred thirty-three thousand, nine hundred twenty".