7956843840 has 840 divisors, whose sum is σ = 32373966240. Its totient is φ = 1852139520.

The previous prime is 7956843809. The next prime is 7956843857. The reversal of 7956843840 is 483486597.

7956843840 is a `hidden beast` number, since 7 + 9 + 568 + 4 + 38 + 40 = 666.

It is a super-2 number, since 2×7956843840² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134861731 + ... + 134861789.

It is an arithmetic number, because the mean of its divisors is an integer number (38540436).

Almost surely, 2^7956843840 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 7956843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186983120).

7956843840 is an abundant number, since it is smaller than the sum of its proper divisors (24417122400).

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

7956843840 is a wasteful number, since it uses less digits than its factorization.

7956843840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 7956843840 is about 89201.1425935789. The cubic root of 7956843840 is about 1996.3971670278.

The spelling of 7956843840 in words is "seven billion, nine hundred fifty-six million, eight hundred forty-three thousand, eight hundred forty".