1407307630764 has 96 divisors (see below), whose sum is σ = 3862835827200. Its totient is φ = 390348951552.

The previous prime is 1407307630759. The next prime is 1407307630793. The reversal of 1407307630764 is 4670367037041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891259 + ... + 1899725.

It is an arithmetic number, because the mean of its divisors is an integer number (40237873200).

Almost surely, 2^{1407307630764} is an apocalyptic number.

1407307630764 is a gapful number since it is divisible by the number (14) 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 1407307630764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931417913600).

1407307630764 is an abundant number, since it is smaller than the sum of its proper divisors (2455528196436).

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

1407307630764 is a wasteful number, since it uses less digits than its factorization.

1407307630764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008967 (or 1008965 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 1407307630764 in words is "one trillion, four hundred seven billion, three hundred seven million, six hundred thirty thousand, seven hundred sixty-four".