7325005440 has 256 divisors, whose sum is σ = 24249496320. Its totient is φ = 1879179264.

The previous prime is 7325005433. The next prime is 7325005483. The reversal of 7325005440 is 445005237.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7325005398 and 7325005407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6890349 + ... + 6891411.

It is an arithmetic number, because the mean of its divisors is an integer number (94724595).

Almost surely, 2^7325005440 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 7325005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12124748160).

7325005440 is an abundant number, since it is smaller than the sum of its proper divisors (16924490880).

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

7325005440 is a wasteful number, since it uses less digits than its factorization.

7325005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 7325005440 is about 85586.2456239319. The cubic root of 7325005440 is about 1942.0898441494.

The spelling of 7325005440 in words is "seven billion, three hundred twenty-five million, five thousand, four hundred forty".