7221551400 has 432 divisors, whose sum is σ = 28914516540. Its totient is φ = 1609574400.

The previous prime is 7221551333. The next prime is 7221551417. The reversal of 7221551400 is 41551227.

7221551400 is a `hidden beast` number, since 72 + 2 + 1 + 551 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16597476 + 7204953924 = 4074^2 + 84882^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3615202 + ... + 3617198.

Almost surely, 2^7221551400 is an apocalyptic number.

7221551400 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 7221551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457258270).

7221551400 is an abundant number, since it is smaller than the sum of its proper divisors (21692965140).

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

7221551400 is a wasteful number, since it uses less digits than its factorization.

7221551400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 7221551400 is about 84979.7116963808. The cubic root of 7221551400 is about 1932.9034841694.

The spelling of 7221551400 in words is "seven billion, two hundred twenty-one million, five hundred fifty-one thousand, four hundred".