7227872870400 has 4032 divisors, whose sum is σ = 35439537583800. Its totient is φ = 1444738498560.

The previous prime is 7227872870371. The next prime is 7227872870423. The reversal of 7227872870400 is 40782787227.

7227872870400 is a `hidden beast` number, since 7 + 22 + 78 + 72 + 87 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 251 ways as a sum of consecutive naturals, for example, 380414361591 + ... + 380414361609.

Almost surely, 2^{7227872870400} is an apocalyptic number.

7227872870400 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 7227872870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719768791900).

7227872870400 is an abundant number, since it is smaller than the sum of its proper divisors (28211664713400).

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

7227872870400 is an equidigital number, since it uses as much as digits as its factorization.

7227872870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The spelling of 7227872870400 in words is "seven trillion, two hundred twenty-seven billion, eight hundred seventy-two million, eight hundred seventy thousand, four hundred".