630682303680 has 1120 divisors, whose sum is σ = 2790976668480. Its totient is φ = 132816568320.

The previous prime is 630682303591. The next prime is 630682303703. The reversal of 630682303680 is 86303286036.

630682303680 is a `hidden beast` number, since 6 + 306 + 8 + 230 + 36 + 80 = 666.

It is a super-2 number, since 2×630682303680² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 63006516 + ... + 63016524.

It is an arithmetic number, because the mean of its divisors is an integer number (2491943454).

Almost surely, 2^630682303680 is an apocalyptic number.

630682303680 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 630682303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395488334240).

630682303680 is an abundant number, since it is smaller than the sum of its proper divisors (2160294364800).

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

630682303680 is a wasteful number, since it uses less digits than its factorization.

630682303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10079 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 630682303680 in words is "six hundred thirty billion, six hundred eighty-two million, three hundred three thousand, six hundred eighty".