7356340166400 has 1080 divisors, whose sum is σ = 28510363136640. Its totient is φ = 1875660779520.

The previous prime is 7356340166333. The next prime is 7356340166419. The reversal of 7356340166400 is 46610436537.

7356340166400 is a `hidden beast` number, since 7 + 3 + 5 + 634 + 0 + 1 + 6 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 2897336331 + ... + 2897338869.

Almost surely, 2^{7356340166400} 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 7356340166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255181568320).

7356340166400 is an abundant number, since it is smaller than the sum of its proper divisors (21154022970240).

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

7356340166400 is an frugal number, since it uses more digits than its factorization.

7356340166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 7356340166400 in words is "seven trillion, three hundred fifty-six billion, three hundred forty million, one hundred sixty-six thousand, four hundred".