7840961856 has 504 divisors, whose sum is σ = 28656710784. Its totient is φ = 2005585920.

The previous prime is 7840961801. The next prime is 7840961873. The reversal of 7840961856 is 6581690487.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×7840961856² (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 71 ways as a sum of consecutive naturals, for example, 25211941 + ... + 25212251.

Almost surely, 2^7840961856 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 7840961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328355392).

7840961856 is an abundant number, since it is smaller than the sum of its proper divisors (20815748928).

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

7840961856 is a wasteful number, since it uses less digits than its factorization.

7840961856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 7840961856 is about 88549.2058462412. The cubic root of 7840961856 is about 1986.6580149667.

The spelling of 7840961856 in words is "seven billion, eight hundred forty million, nine hundred sixty-one thousand, eight hundred fifty-six".