7224621264 has 240 divisors, whose sum is σ = 24676134912. Its totient is φ = 1928247552.

The previous prime is 7224621263. The next prime is 7224621281. The reversal of 7224621264 is 4621264227.

7224621264 is a `hidden beast` number, since 7 + 2 + 2 + 4 + 621 + 26 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7224621263) 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 47 ways as a sum of consecutive naturals, for example, 993289 + ... + 1000535.

Almost surely, 2^7224621264 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 7224621264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12338067456).

7224621264 is an abundant number, since it is smaller than the sum of its proper divisors (17451513648).

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

7224621264 is a wasteful number, since it uses less digits than its factorization.

7224621264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334 (or 7325 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 7224621264 is about 84997.7721119795. The cubic root of 7224621264 is about 1933.1773362308.

The spelling of 7224621264 in words is "seven billion, two hundred twenty-four million, six hundred twenty-one thousand, two hundred sixty-four".