630888302880 has 1152 divisors, whose sum is σ = 2715207505920. Its totient is φ = 136340029440.

The previous prime is 630888302873. The next prime is 630888302917. The reversal of 630888302880 is 88203888036.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 138138357 + ... + 138142923.

It is an arithmetic number, because the mean of its divisors is an integer number (2356950960).

Almost surely, 2^630888302880 is an apocalyptic number.

630888302880 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 630888302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357603752960).

630888302880 is an abundant number, since it is smaller than the sum of its proper divisors (2084319203040).

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

630888302880 is a wasteful number, since it uses less digits than its factorization.

630888302880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 630888302880 in words is "six hundred thirty billion, eight hundred eighty-eight million, three hundred two thousand, eight hundred eighty".