7971658740 has 192 divisors, whose sum is σ = 25540704000. Its totient is φ = 2089069056.

The previous prime is 7971658733. The next prime is 7971658763. The reversal of 7971658740 is 478561797.

7971658740 is a `hidden beast` number, since 7 + 9 + 7 + 16 + 587 + 40 = 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 63 ways as a sum of consecutive naturals, for example, 2579116 + ... + 2582204.

It is an arithmetic number, because the mean of its divisors is an integer number (133024500).

Almost surely, 2^7971658740 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 7971658740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12770352000).

7971658740 is an abundant number, since it is smaller than the sum of its proper divisors (17569045260).

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

7971658740 is a wasteful number, since it uses less digits than its factorization.

7971658740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 7971658740 is about 89284.1460730851. The cubic root of 7971658740 is about 1997.6354338485.

The spelling of 7971658740 in words is "seven billion, nine hundred seventy-one million, six hundred fifty-eight thousand, seven hundred forty".