630079948800 has 1152 divisors, whose sum is σ = 2488284489600. Its totient is φ = 157659955200.

The previous prime is 630079948769. The next prime is 630079948819. The reversal of 630079948800 is 8849970036.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1903564635 + ... + 1903564965.

It is an arithmetic number, because the mean of its divisors is an integer number (2159969175).

Almost surely, 2^630079948800 is an apocalyptic number.

630079948800 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 630079948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244142244800).

630079948800 is an abundant number, since it is smaller than the sum of its proper divisors (1858204540800).

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

630079948800 is an equidigital number, since it uses as much as digits as its factorization.

630079948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 630079948800 in words is "six hundred thirty billion, seventy-nine million, nine hundred forty-eight thousand, eight hundred".