7895268480 has 384 divisors, whose sum is σ = 28441108800. Its totient is φ = 1847500800.

The previous prime is 7895268467. The next prime is 7895268481. The reversal of 7895268480 is 848625987.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7895268480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7895268481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20296126 + ... + 20296514.

Almost surely, 2^7895268480 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 7895268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220554400).

7895268480 is an abundant number, since it is smaller than the sum of its proper divisors (20545840320).

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

7895268480 is a wasteful number, since it uses less digits than its factorization.

7895268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The square root of 7895268480 is about 88855.3233070478. The cubic root of 7895268480 is about 1991.2340081603.

The spelling of 7895268480 in words is "seven billion, eight hundred ninety-five million, two hundred sixty-eight thousand, four hundred eighty".