7345460640 has 288 divisors, whose sum is σ = 28500704064. Its totient is φ = 1580113920.

The previous prime is 7345460621. The next prime is 7345460651. The reversal of 7345460640 is 460645437.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 390655 + ... + 409025.

It is an arithmetic number, because the mean of its divisors is an integer number (98960778).

Almost surely, 2^7345460640 is an apocalyptic number.

7345460640 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 7345460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250352032).

7345460640 is an abundant number, since it is smaller than the sum of its proper divisors (21155243424).

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

7345460640 is a wasteful number, since it uses less digits than its factorization.

7345460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18420 (or 18405 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 7345460640 is about 85705.6628234097. The cubic root of 7345460640 is about 1943.8959367825.

The spelling of 7345460640 in words is "seven billion, three hundred forty-five million, four hundred sixty thousand, six hundred forty".