7406056800 has 648 divisors, whose sum is σ = 29059843176. Its totient is φ = 1836380160.

The previous prime is 7406056799. The next prime is 7406056807. The reversal of 7406056800 is 86506047.

It is a happy number.

7406056800 is a `hidden beast` number, since 7 + 40 + 605 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7406056807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 89229559 + ... + 89229641.

It is an arithmetic number, because the mean of its divisors is an integer number (44845437).

Almost surely, 2^7406056800 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 7406056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529921588).

7406056800 is an abundant number, since it is smaller than the sum of its proper divisors (21653786376).

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

7406056800 is an equidigital number, since it uses as much as digits as its factorization.

7406056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7406056800 is about 86058.4499047014. The cubic root of 7406056800 is about 1949.2266756067.

The spelling of 7406056800 in words is "seven billion, four hundred six million, fifty-six thousand, eight hundred".