7495983360 has 432 divisors, whose sum is σ = 28506441600. Its totient is φ = 1810169856.

The previous prime is 7495983343. The next prime is 7495983361. The reversal of 7495983360 is 633895947.

7495983360 is a `hidden beast` number, since 7 + 49 + 598 + 3 + 3 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7495983297 and 7495983306.

It is not an unprimeable number, because it can be changed into a prime (7495983361) 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, 5033496 + ... + 5034984.

Almost surely, 2^7495983360 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 7495983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253220800).

7495983360 is an abundant number, since it is smaller than the sum of its proper divisors (21010458240).

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

7495983360 is a wasteful number, since it uses less digits than its factorization.

7495983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 7495983360 is about 86579.3471908861. The cubic root of 7495983360 is about 1957.0843223197.

The spelling of 7495983360 in words is "seven billion, four hundred ninety-five million, nine hundred eighty-three thousand, three hundred sixty".