7984005335640 has 128 divisors (see below), whose sum is σ = 26656347456000. Its totient is φ = 2125628383104.

The previous prime is 7984005335609. The next prime is 7984005335659. The reversal of 7984005335640 is 465335004897.

7984005335640 is a `hidden beast` number, since 7 + 9 + 8 + 40 + 0 + 5 + 33 + 564 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 5302884 + ... + 6639923.

It is an arithmetic number, because the mean of its divisors is an integer number (208252714500).

Almost surely, 2^{7984005335640} is an apocalyptic number.

It is an amenable number.

7984005335640 is an abundant number, since it is smaller than the sum of its proper divisors (18672342120360).

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

7984005335640 is a wasteful number, since it uses less digits than its factorization.

7984005335640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11943446 (or 11943436 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 7984005335640 in words is "seven trillion, nine hundred eighty-four billion, five million, three hundred thirty-five thousand, six hundred forty".