7609904640 has 480 divisors, whose sum is σ = 29465051616. Its totient is φ = 1871216640.

The previous prime is 7609904611. The next prime is 7609904713. The reversal of 7609904640 is 464099067.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8086570 + ... + 8087510.

Almost surely, 2^7609904640 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 7609904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732525808).

7609904640 is an abundant number, since it is smaller than the sum of its proper divisors (21855146976).

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

7609904640 is an equidigital number, since it uses as much as digits as its factorization.

7609904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7609904640 is about 87234.7673809015. The cubic root of 7609904640 is about 1966.9488735441.

The spelling of 7609904640 in words is "seven billion, six hundred nine million, nine hundred four thousand, six hundred forty".