7608968640 has 336 divisors, whose sum is σ = 32212410048. Its totient is φ = 1605353472.

The previous prime is 7608968621. The next prime is 7608968713. The reversal of 7608968640 is 468698067.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247564 + ... + 276596.

It is an arithmetic number, because the mean of its divisors is an integer number (95870268).

Almost surely, 2^7608968640 is an apocalyptic number.

7608968640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7608968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16106205024).

7608968640 is an abundant number, since it is smaller than the sum of its proper divisors (24603441408).

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

7608968640 is a wasteful number, since it uses less digits than its factorization.

7608968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29076 (or 29063 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 7608968640 is about 87229.4023824536. The cubic root of 7608968640 is about 1966.8682269079.

The spelling of 7608968640 in words is "seven billion, six hundred eight million, nine hundred sixty-eight thousand, six hundred forty".