630314780160 has 320 divisors, whose sum is σ = 2200629150720. Its totient is φ = 152967413760.

The previous prime is 630314780131. The next prime is 630314780177. The reversal of 630314780160 is 61087413036.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7044181 + ... + 7133099.

It is an arithmetic number, because the mean of its divisors is an integer number (6876966096).

Almost surely, 2^630314780160 is an apocalyptic number.

630314780160 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 630314780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100314575360).

630314780160 is an abundant number, since it is smaller than the sum of its proper divisors (1570314370560).

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

630314780160 is a wasteful number, since it uses less digits than its factorization.

630314780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89029 (or 89013 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 630314780160 in words is "six hundred thirty billion, three hundred fourteen million, seven hundred eighty thousand, one hundred sixty".