7827594047130 has 256 divisors, whose sum is σ = 22295753625600. Its totient is φ = 1733771520000.

The previous prime is 7827594047113. The next prime is 7827594047167. The reversal of 7827594047130 is 317404957287.

It is a super-2 number, since 2×7827594047130² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1436516646 + ... + 1436522094.

It is an arithmetic number, because the mean of its divisors is an integer number (87092787600).

Almost surely, 2^{7827594047130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7827594047130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147876812800).

7827594047130 is an abundant number, since it is smaller than the sum of its proper divisors (14468159578470).

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

7827594047130 is a wasteful number, since it uses less digits than its factorization.

7827594047130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8837.

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 7827594047130 in words is "seven trillion, eight hundred twenty-seven billion, five hundred ninety-four million, forty-seven thousand, one hundred thirty".