7945609520 has 80 divisors (see below), whose sum is σ = 18760584960. Its totient is φ = 3129222912.

The previous prime is 7945609423. The next prime is 7945609541. The reversal of 7945609520 is 259065497.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1472267 + ... + 1477653.

It is an arithmetic number, because the mean of its divisors is an integer number (234507312).

Almost surely, 2^7945609520 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 7945609520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9380292480).

7945609520 is an abundant number, since it is smaller than the sum of its proper divisors (10814975440).

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

7945609520 is a wasteful number, since it uses less digits than its factorization.

7945609520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 47.

The square root of 7945609520 is about 89138.1485111734. The cubic root of 7945609520 is about 1995.4571490654.

The spelling of 7945609520 in words is "seven billion, nine hundred forty-five million, six hundred nine thousand, five hundred twenty".