7645640640 has 224 divisors, whose sum is σ = 27129150720. Its totient is φ = 1808179200.

The previous prime is 7645640627. The next prime is 7645640647. The reversal of 7645640640 is 460465467.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7645640592 and 7645640601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7645640647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424131 + ... + 441789.

It is an arithmetic number, because the mean of its divisors is an integer number (121112280).

Almost surely, 2^7645640640 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 7645640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564575360).

7645640640 is an abundant number, since it is smaller than the sum of its proper divisors (19483510080).

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

7645640640 is a wasteful number, since it uses less digits than its factorization.

7645640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17731 (or 17721 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 7645640640 is about 87439.3540689774. The cubic root of 7645640640 is about 1970.0229875267.

The spelling of 7645640640 in words is "seven billion, six hundred forty-five million, six hundred forty thousand, six hundred forty".