7868240640 has 576 divisors, whose sum is σ = 30575623680. Its totient is φ = 1904394240.

The previous prime is 7868240629. The next prime is 7868240641. The reversal of 7868240640 is 460428687.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7868240641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37290135 + ... + 37290345.

It is an arithmetic number, because the mean of its divisors is an integer number (53082680).

Almost surely, 2^7868240640 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 7868240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15287811840).

7868240640 is an abundant number, since it is smaller than the sum of its proper divisors (22707383040).

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

7868240640 is a wasteful number, since it uses less digits than its factorization.

7868240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7868240640 is about 88703.1038915775. The cubic root of 7868240640 is about 1988.9592160330.

The spelling of 7868240640 in words is "seven billion, eight hundred sixty-eight million, two hundred forty thousand, six hundred forty".