7981965936 has 480 divisors, whose sum is σ = 28961271360. Its totient is φ = 2090188800.

The previous prime is 7981965913. The next prime is 7981965947. The reversal of 7981965936 is 6395691897.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (22044960) is a multiple of the sum of its prime factors (630).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14753826 + ... + 14754366.

It is an arithmetic number, because the mean of its divisors is an integer number (60335982).

Almost surely, 2^7981965936 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 7981965936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480635680).

7981965936 is an abundant number, since it is smaller than the sum of its proper divisors (20979305424).

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

7981965936 is a wasteful number, since it uses less digits than its factorization.

7981965936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 7981965936 is about 89341.8487384272. The cubic root of 7981965936 is about 1998.4960306549.

The spelling of 7981965936 in words is "seven billion, nine hundred eighty-one million, nine hundred sixty-five thousand, nine hundred thirty-six".