1005630349824 has 800 divisors, whose sum is σ = 3285458288640. Its totient is φ = 305283686400.

The previous prime is 1005630349807. The next prime is 1005630349879. The reversal of 1005630349824 is 4289430365001.

1005630349824 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 630 + 3 + 4 + 9 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×1005630349824² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005630349824.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2099436817 + ... + 2099437295.

Almost surely, 2^{1005630349824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005630349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642729144320).

1005630349824 is an abundant number, since it is smaller than the sum of its proper divisors (2279827938816).

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

1005630349824 is an equidigital number, since it uses as much as digits as its factorization.

1005630349824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1005630349824 in words is "one trillion, five billion, six hundred thirty million, three hundred forty-nine thousand, eight hundred twenty-four".