7338815904 has 96 divisors (see below), whose sum is σ = 22190063616. Its totient is φ = 2080270080.

The previous prime is 7338815903. The next prime is 7338815923. The reversal of 7338815904 is 4095188337.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7338815903) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42349 + ... + 128339.

It is an arithmetic number, because the mean of its divisors is an integer number (231146496).

Almost surely, 2^7338815904 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 7338815904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095031808).

7338815904 is an abundant number, since it is smaller than the sum of its proper divisors (14851247712).

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

7338815904 is a wasteful number, since it uses less digits than its factorization.

7338815904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86138 (or 86130 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 7338815904 is about 85666.8891929665. The cubic root of 7338815904 is about 1943.3096076771.

The spelling of 7338815904 in words is "seven billion, three hundred thirty-eight million, eight hundred fifteen thousand, nine hundred four".