630687919680 has 896 divisors, whose sum is σ = 2769446937600. Its totient is φ = 131558473728.

The previous prime is 630687919571. The next prime is 630687919709. The reversal of 630687919680 is 86919786036.

630687919680 is a `hidden beast` number, since 6 + 306 + 87 + 91 + 96 + 80 = 666.

It is a super-2 number, since 2×630687919680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69970854 + ... + 69979866.

It is an arithmetic number, because the mean of its divisors is an integer number (3090900600).

Almost surely, 2^630687919680 is an apocalyptic number.

630687919680 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 630687919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384723468800).

630687919680 is an abundant number, since it is smaller than the sum of its proper divisors (2138759017920).

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

630687919680 is a wasteful number, since it uses less digits than its factorization.

630687919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9148 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 630687919680 in words is "six hundred thirty billion, six hundred eighty-seven million, nine hundred nineteen thousand, six hundred eighty".