7328272456800 has 1152 divisors, whose sum is σ = 29376819763200. Its totient is φ = 1753658818560.

The previous prime is 7328272456763. The next prime is 7328272456811. The reversal of 7328272456800 is 86542728237.

7328272456800 is a `hidden beast` number, since 7 + 3 + 2 + 8 + 2 + 72 + 4 + 568 + 0 + 0 = 666.

It is a super-3 number, since 3×7328272456800³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3031969192 + ... + 3031971608.

It is an arithmetic number, because the mean of its divisors is an integer number (25500711600).

Almost surely, 2^{7328272456800} 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 7328272456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688409881600).

7328272456800 is an abundant number, since it is smaller than the sum of its proper divisors (22048547306400).

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

7328272456800 is a wasteful number, since it uses less digits than its factorization.

7328272456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 7328272456800 in words is "seven trillion, three hundred twenty-eight billion, two hundred seventy-two million, four hundred fifty-six thousand, eight hundred".