7422166800 has 360 divisors, whose sum is σ = 26377720200. Its totient is φ = 1932288000.

The previous prime is 7422166793. The next prime is 7422166813. The reversal of 7422166800 is 86612247.

It can be written as a sum of positive squares in 12 ways, for example, as 1210204944 + 6211961856 = 34788^2 + 78816^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49813126 + ... + 49813274.

It is an arithmetic number, because the mean of its divisors is an integer number (73271445).

Almost surely, 2^7422166800 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 7422166800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13188860100).

7422166800 is an abundant number, since it is smaller than the sum of its proper divisors (18955553400).

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

7422166800 is a wasteful number, since it uses less digits than its factorization.

7422166800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7422166800 is about 86151.9982356765. The cubic root of 7422166800 is about 1950.6390016260.

The spelling of 7422166800 in words is "seven billion, four hundred twenty-two million, one hundred sixty-six thousand, eight hundred".