7422718800 has 240 divisors, whose sum is σ = 27239506560. Its totient is φ = 1692549120.

The previous prime is 7422718799. The next prime is 7422718813. The reversal of 7422718800 is 88172247.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4778824 + ... + 4780376.

It is an arithmetic number, because the mean of its divisors is an integer number (113497944).

Almost surely, 2^7422718800 is an apocalyptic number.

7422718800 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 7422718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619753280).

7422718800 is an abundant number, since it is smaller than the sum of its proper divisors (19816787760).

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

7422718800 is a wasteful number, since it uses less digits than its factorization.

7422718800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 7422718800 is about 86155.2018162572. The cubic root of 7422718800 is about 1950.6873579469.

The spelling of 7422718800 in words is "seven billion, four hundred twenty-two million, seven hundred eighteen thousand, eight hundred".