7971946040 has 64 divisors (see below), whose sum is σ = 18268830720. Its totient is φ = 3129984000.

The previous prime is 7971945997. The next prime is 7971946043. The reversal of 7971946040 is 406491797.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971946043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1268105 + ... + 1274375.

It is an arithmetic number, because the mean of its divisors is an integer number (285450480).

Almost surely, 2^7971946040 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 7971946040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9134415360).

7971946040 is an abundant number, since it is smaller than the sum of its proper divisors (10296884680).

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

7971946040 is a wasteful number, since it uses less digits than its factorization.

7971946040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 7971946040 is about 89285.7549668479. The cubic root of 7971946040 is about 1997.6594319391.

The spelling of 7971946040 in words is "seven billion, nine hundred seventy-one million, nine hundred forty-six thousand, forty".