7334918496 has 192 divisors, whose sum is σ = 22404211200. Its totient is φ = 2331560448.

The previous prime is 7334918473. The next prime is 7334918519. The reversal of 7334918496 is 6948194337.

It is a happy number.

7334918496 is a `hidden beast` number, since 73 + 3 + 491 + 84 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7334918473) and next prime (7334918519).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 2077885 + ... + 2081411.

It is an arithmetic number, because the mean of its divisors is an integer number (116688600).

Almost surely, 2^7334918496 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 7334918496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11202105600).

7334918496 is an abundant number, since it is smaller than the sum of its proper divisors (15069292704).

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

7334918496 is a wasteful number, since it uses less digits than its factorization.

7334918496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3644 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 7334918496 is about 85644.1387136329. The cubic root of 7334918496 is about 1942.9655371144.

The spelling of 7334918496 in words is "seven billion, three hundred thirty-four million, nine hundred eighteen thousand, four hundred ninety-six".