630407393280 has 1248 divisors, whose sum is σ = 2712566683008. Its totient is φ = 132120576000.

The previous prime is 630407393261. The next prime is 630407393281. The reversal of 630407393280 is 82393704036.

630407393280 is a `hidden beast` number, since 630 + 4 + 0 + 7 + 3 + 9 + 3 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630407393281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 899296930 + ... + 899297630.

It is an arithmetic number, because the mean of its divisors is an integer number (2173530996).

Almost surely, 2^630407393280 is an apocalyptic number.

630407393280 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 630407393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356283341504).

630407393280 is an abundant number, since it is smaller than the sum of its proper divisors (2082159289728).

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

630407393280 is a wasteful number, since it uses less digits than its factorization.

630407393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 630407393280 in words is "six hundred thirty billion, four hundred seven million, three hundred ninety-three thousand, two hundred eighty".