7839008640 has 384 divisors, whose sum is σ = 27859366080. Its totient is φ = 2030469120.

The previous prime is 7839008609. The next prime is 7839008677. The reversal of 7839008640 is 468009387.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7839008640² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 43309350 + ... + 43309530.

Almost surely, 2^7839008640 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 7839008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929683040).

7839008640 is an abundant number, since it is smaller than the sum of its proper divisors (20020357440).

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

7839008640 is a wasteful number, since it uses less digits than its factorization.

7839008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7839008640 is about 88538.1761727674. The cubic root of 7839008640 is about 1986.4930396935.

The spelling of 7839008640 in words is "seven billion, eight hundred thirty-nine million, eight thousand, six hundred forty".