7268952960 has 320 divisors, whose sum is σ = 26103330000. Its totient is φ = 1927618560.

The previous prime is 7268952917. The next prime is 7268952961. The reversal of 7268952960 is 692598627.

7268952960 is a `hidden beast` number, since 7 + 268 + 95 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7268952897 and 7268952906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7268952961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14566791 + ... + 14567289.

Almost surely, 2^7268952960 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 7268952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13051665000).

7268952960 is an abundant number, since it is smaller than the sum of its proper divisors (18834377040).

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

7268952960 is a wasteful number, since it uses less digits than its factorization.

7268952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 7268952960 is about 85258.1548005820. The cubic root of 7268952960 is about 1937.1233946335.

The spelling of 7268952960 in words is "seven billion, two hundred sixty-eight million, nine hundred fifty-two thousand, nine hundred sixty".