7812426560 has 224 divisors, whose sum is σ = 20302313472. Its totient is φ = 2854748160.

The previous prime is 7812426553. The next prime is 7812426571. The reversal of 7812426560 is 656242187.

It is a super-2 number, since 2×7812426560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22131344 + ... + 22131696.

It is an arithmetic number, because the mean of its divisors is an integer number (90635328).

Almost surely, 2^7812426560 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 7812426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10151156736).

7812426560 is an abundant number, since it is smaller than the sum of its proper divisors (12489886912).

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

7812426560 is a wasteful number, since it uses less digits than its factorization.

7812426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 7812426560 is about 88387.9322079660. The cubic root of 7812426560 is about 1984.2450974083.

The spelling of 7812426560 in words is "seven billion, eight hundred twelve million, four hundred twenty-six thousand, five hundred sixty".