7609096320 has 384 divisors, whose sum is σ = 29135116800. Its totient is φ = 1682472960.

The previous prime is 7609096309. The next prime is 7609096337. The reversal of 7609096320 is 236909067.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2915176 + ... + 2917784.

It is an arithmetic number, because the mean of its divisors is an integer number (75872700).

Almost surely, 2^7609096320 is an apocalyptic number.

7609096320 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 7609096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14567558400).

7609096320 is an abundant number, since it is smaller than the sum of its proper divisors (21526020480).

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

7609096320 is a wasteful number, since it uses less digits than its factorization.

7609096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 7609096320 is about 87230.1342427031. The cubic root of 7609096320 is about 1966.8792283258.

The spelling of 7609096320 in words is "seven billion, six hundred nine million, ninety-six thousand, three hundred twenty".