7966971936 has 432 divisors, whose sum is σ = 30452254560. Its totient is φ = 1946972160.

The previous prime is 7966971913. The next prime is 7966971967. The reversal of 7966971936 is 6391796697.

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

It is a nude number because it is divisible by every one of its digits.

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, 2637435 + ... + 2640453.

It is an arithmetic number, because the mean of its divisors is an integer number (70491330).

Almost surely, 2^7966971936 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 7966971936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226127280).

7966971936 is an abundant number, since it is smaller than the sum of its proper divisors (22485282624).

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

7966971936 is a wasteful number, since it uses less digits than its factorization.

7966971936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3059 counting only the distinct ones).

The product of its digits is 23147208, while the sum is 63.

The square root of 7966971936 is about 89257.8956507490. The cubic root of 7966971936 is about 1997.2438649378.

The spelling of 7966971936 in words is "seven billion, nine hundred sixty-six million, nine hundred seventy-one thousand, nine hundred thirty-six".