7474320796320 has 768 divisors, whose sum is σ = 30417603148800. Its totient is φ = 1678740111360.

The previous prime is 7474320796309. The next prime is 7474320796331. The reversal of 7474320796320 is 236970234747.

7474320796320 is a `hidden beast` number, since 7 + 474 + 3 + 20 + 79 + 63 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (7474320796309) and next prime (7474320796331).

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

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 127 ways as a sum of consecutive naturals, for example, 3683745066 + ... + 3683747094.

It is an arithmetic number, because the mean of its divisors is an integer number (39606254100).

Almost surely, 2^{7474320796320} is an apocalyptic number.

7474320796320 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 7474320796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15208801574400).

7474320796320 is an abundant number, since it is smaller than the sum of its proper divisors (22943282352480).

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

7474320796320 is a wasteful number, since it uses less digits than its factorization.

7474320796320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 7474320796320 in words is "seven trillion, four hundred seventy-four billion, three hundred twenty million, seven hundred ninety-six thousand, three hundred twenty".