7326000274320 has 1440 divisors, whose sum is σ = 31698645844320. Its totient is φ = 1502025154560.

The previous prime is 7326000274301. The next prime is 7326000274321. The reversal of 7326000274320 is 234720006237.

7326000274320 is a `hidden beast` number, since 7 + 3 + 2 + 60 + 0 + 0 + 274 + 320 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4342172428944 + 2983827845376 = 2083788^2 + 1727376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7326000274321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5960943466 + ... + 5960944694.

It is an arithmetic number, because the mean of its divisors is an integer number (22012948503).

Almost surely, 2^{7326000274320} is an apocalyptic number.

7326000274320 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 7326000274320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849322922160).

7326000274320 is an abundant number, since it is smaller than the sum of its proper divisors (24372645570000).

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

7326000274320 is a wasteful number, since it uses less digits than its factorization.

7326000274320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 7326000274320 in words is "seven trillion, three hundred twenty-six billion, two hundred seventy-four thousand, three hundred twenty".