630936090720 has 384 divisors, whose sum is σ = 2454864814080. Its totient is φ = 150297016320.

The previous prime is 630936090683. The next prime is 630936090803. The reversal of 630936090720 is 27090639036.

630936090720 is a `hidden beast` number, since 6 + 30 + 9 + 3 + 609 + 0 + 7 + 2 + 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1559757 + ... + 1922163.

It is an arithmetic number, because the mean of its divisors is an integer number (6392877120).

Almost surely, 2^630936090720 is an apocalyptic number.

630936090720 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 630936090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227432407040).

630936090720 is an abundant number, since it is smaller than the sum of its proper divisors (1823928723360).

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

630936090720 is a wasteful number, since it uses less digits than its factorization.

630936090720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362475 (or 362461 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 630936090720 in words is "six hundred thirty billion, nine hundred thirty-six million, ninety thousand, seven hundred twenty".