7325987760 has 960 divisors, whose sum is σ = 32415068160. Its totient is φ = 1488015360.

The previous prime is 7325987737. The next prime is 7325987813. The reversal of 7325987760 is 677895237.

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 = 7325987697 and 7325987706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 120098130 + ... + 120098190.

It is an arithmetic number, because the mean of its divisors is an integer number (33765696).

Almost surely, 2^7325987760 is an apocalyptic number.

7325987760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7325987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16207534080).

7325987760 is an abundant number, since it is smaller than the sum of its proper divisors (25089080400).

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

7325987760 is a wasteful number, since it uses less digits than its factorization.

7325987760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 7325987760 is about 85591.9842041298. The cubic root of 7325987760 is about 1942.1766549346.

The spelling of 7325987760 in words is "seven billion, three hundred twenty-five million, nine hundred eighty-seven thousand, seven hundred sixty".