7985806848 has 400 divisors, whose sum is σ = 25881539904. Its totient is φ = 2441871360.

The previous prime is 7985806823. The next prime is 7985806859. The reversal of 7985806848 is 8486085897.

7985806848 is a `hidden beast` number, since 7 + 9 + 8 + 580 + 6 + 8 + 48 = 666.

It is a super-2 number, since 2×7985806848² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33136008 + ... + 33136248.

Almost surely, 2^7985806848 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 7985806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940769952).

7985806848 is an abundant number, since it is smaller than the sum of its proper divisors (17895733056).

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

7985806848 is a wasteful number, since it uses less digits than its factorization.

7985806848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The square root of 7985806848 is about 89363.3417459307. The cubic root of 7985806848 is about 1998.8165371793.

The spelling of 7985806848 in words is "seven billion, nine hundred eighty-five million, eight hundred six thousand, eight hundred forty-eight".