630635511680 has 128 divisors (see below), whose sum is σ = 1589594112000. Its totient is φ = 238581172224.

The previous prime is 630635511659. The next prime is 630635511689. The reversal of 630635511680 is 86115536036.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×630635511680² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630635511689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7338401 + ... + 7423839.

It is an arithmetic number, because the mean of its divisors is an integer number (12418704000).

Almost surely, 2^630635511680 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 630635511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794797056000).

630635511680 is an abundant number, since it is smaller than the sum of its proper divisors (958958600320).

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

630635511680 is a wasteful number, since it uses less digits than its factorization.

630635511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86084 (or 86072 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 630635511680 in words is "six hundred thirty billion, six hundred thirty-five million, five hundred eleven thousand, six hundred eighty".