7969040640 has 324 divisors, whose sum is σ = 30311769852. Its totient is φ = 1931550720.

The previous prime is 7969040633. The next prime is 7969040657. The reversal of 7969040640 is 460409697.

It can be written as a sum of positive squares in 2 ways, for example, as 3751317504 + 4217723136 = 61248^2 + 64944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1391062 + ... + 1396778.

Almost surely, 2^7969040640 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 7969040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155884926).

7969040640 is an abundant number, since it is smaller than the sum of its proper divisors (22342729212).

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

7969040640 is a wasteful number, since it uses less digits than its factorization.

7969040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7969040640 is about 89269.4832515569. The cubic root of 7969040640 is about 1997.4167180972.

The spelling of 7969040640 in words is "seven billion, nine hundred sixty-nine million, forty thousand, six hundred forty".