7416228568320 has 1728 divisors, whose sum is σ = 31461663340800. Its totient is φ = 1639663534080.

The previous prime is 7416228568183. The next prime is 7416228568363. The reversal of 7416228568320 is 238658226147.

7416228568320 is a `hidden beast` number, since 7 + 4 + 1 + 622 + 8 + 5 + 6 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5717985912 + ... + 5717987208.

It is an arithmetic number, because the mean of its divisors is an integer number (18206981100).

Almost surely, 2^{7416228568320} 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 7416228568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730831670400).

7416228568320 is an abundant number, since it is smaller than the sum of its proper divisors (24045434772480).

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

7416228568320 is a wasteful number, since it uses less digits than its factorization.

7416228568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 7416228568320 in words is "seven trillion, four hundred sixteen billion, two hundred twenty-eight million, five hundred sixty-eight thousand, three hundred twenty".