7656560640 has 576 divisors, whose sum is σ = 29298840480. Its totient is φ = 1911029760.

The previous prime is 7656560617. The next prime is 7656560641. The reversal of 7656560640 is 460656567.

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 (7656560641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42301350 + ... + 42301530.

Almost surely, 2^7656560640 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 7656560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14649420240).

7656560640 is an abundant number, since it is smaller than the sum of its proper divisors (21642279840).

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

7656560640 is a wasteful number, since it uses less digits than its factorization.

7656560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 7656560640 is about 87501.7750677093. The cubic root of 7656560640 is about 1970.9604462361.

The spelling of 7656560640 in words is "seven billion, six hundred fifty-six million, five hundred sixty thousand, six hundred forty".