7334199936 has 192 divisors, whose sum is σ = 24259435200. Its totient is φ = 2083368960.

The previous prime is 7334199919. The next prime is 7334199953. The reversal of 7334199936 is 6399914337.

It is an interprime number because it is at equal distance from previous prime (7334199919) and next prime (7334199953).

It is a tau number, because it is divible by the number of its divisors (192).

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, 1440916 + ... + 1445996.

It is an arithmetic number, because the mean of its divisors is an integer number (126351225).

Almost surely, 2^7334199936 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 7334199936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12129717600).

7334199936 is an abundant number, since it is smaller than the sum of its proper divisors (16925235264).

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

7334199936 is a wasteful number, since it uses less digits than its factorization.

7334199936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5287 (or 5272 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 54.

The square root of 7334199936 is about 85639.9435777488. The cubic root of 7334199936 is about 1942.9020879700.

The spelling of 7334199936 in words is "seven billion, three hundred thirty-four million, one hundred ninety-nine thousand, nine hundred thirty-six".