7287993360 has 240 divisors, whose sum is σ = 25946375040. Its totient is φ = 1880236800.

The previous prime is 7287993359. The next prime is 7287993379. The reversal of 7287993360 is 633997827.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×7287993360² (a number of 21 digits) contains 22 as substring.

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 = 7287993297 and 7287993306.

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, 2074005 + ... + 2077515.

It is an arithmetic number, because the mean of its divisors is an integer number (108109896).

Almost surely, 2^7287993360 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 7287993360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973187520).

7287993360 is an abundant number, since it is smaller than the sum of its proper divisors (18658381680).

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

7287993360 is a wasteful number, since it uses less digits than its factorization.

7287993360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 7287993360 is about 85369.7449920052. The cubic root of 7287993360 is about 1938.8132962735.

The spelling of 7287993360 in words is "seven billion, two hundred eighty-seven million, nine hundred ninety-three thousand, three hundred sixty".