7344877344 has 144 divisors (see below), whose sum is σ = 22464031968. Its totient is φ = 2095177728.

The previous prime is 7344877333. The next prime is 7344877381. The reversal of 7344877344 is 4437784437.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5724127 + ... + 5725409.

It is an arithmetic number, because the mean of its divisors is an integer number (156000222).

Almost surely, 2^7344877344 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 7344877344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232015984).

7344877344 is an abundant number, since it is smaller than the sum of its proper divisors (15119154624).

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

7344877344 is a wasteful number, since it uses less digits than its factorization.

7344877344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2512 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 51.

The square root of 7344877344 is about 85702.2598535184. The cubic root of 7344877344 is about 1943.8444811151.

The spelling of 7344877344 in words is "seven billion, three hundred forty-four million, eight hundred seventy-seven thousand, three hundred forty-four".