7961871456 has 192 divisors, whose sum is σ = 28952501760. Its totient is φ = 2068001280.

The previous prime is 7961871403. The next prime is 7961871479. The reversal of 7961871456 is 6541781697.

7961871456 is a `hidden beast` number, since 7 + 9 + 6 + 187 + 1 + 456 = 666.

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 31 ways as a sum of consecutive naturals, for example, 6690 + ... + 126366.

It is an arithmetic number, because the mean of its divisors is an integer number (150794280).

Almost surely, 2^7961871456 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 7961871456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476250880).

7961871456 is an abundant number, since it is smaller than the sum of its proper divisors (20990630304).

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

7961871456 is a wasteful number, since it uses less digits than its factorization.

7961871456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119714 (or 119700 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 7961871456 is about 89229.3194863661. The cubic root of 7961871456 is about 1996.8175600573.

The spelling of 7961871456 in words is "seven billion, nine hundred sixty-one million, eight hundred seventy-one thousand, four hundred fifty-six".