7721224560 has 1200 divisors, whose sum is σ = 35375831040. Its totient is φ = 1522851840.

The previous prime is 7721224513. The next prime is 7721224561. The reversal of 7721224560 is 654221277.

It is a happy number.

7721224560 is a `hidden beast` number, since 7 + 72 + 1 + 2 + 24 + 560 = 666.

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 (7721224561) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 249071745 + ... + 249071775.

Almost surely, 2^7721224560 is an apocalyptic number.

7721224560 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 7721224560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17687915520).

7721224560 is an abundant number, since it is smaller than the sum of its proper divisors (27654606480).

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

7721224560 is a wasteful number, since it uses less digits than its factorization.

7721224560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7721224560 is about 87870.4988036372. The cubic root of 7721224560 is about 1976.4935183789.

The spelling of 7721224560 in words is "seven billion, seven hundred twenty-one million, two hundred twenty-four thousand, five hundred sixty".