630777438720 has 960 divisors, whose sum is σ = 2647285027200. Its totient is φ = 141124239360.

The previous prime is 630777438719. The next prime is 630777438749. The reversal of 630777438720 is 27834777036.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 128491626 + ... + 128496534.

It is an arithmetic number, because the mean of its divisors is an integer number (2757588570).

Almost surely, 2^630777438720 is an apocalyptic number.

630777438720 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 630777438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323642513600).

630777438720 is an abundant number, since it is smaller than the sum of its proper divisors (2016507588480).

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

630777438720 is a wasteful number, since it uses less digits than its factorization.

630777438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 630777438720 in words is "six hundred thirty billion, seven hundred seventy-seven million, four hundred thirty-eight thousand, seven hundred twenty".