7224881664 has 640 divisors, whose sum is σ = 26750287872. Its totient is φ = 1672151040.

The previous prime is 7224881659. The next prime is 7224881747. The reversal of 7224881664 is 4661884227.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56888769 + ... + 56888895.

Almost surely, 2^7224881664 is an apocalyptic number.

7224881664 is a gapful number since it is divisible by the number (74) 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 7224881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13375143936).

7224881664 is an abundant number, since it is smaller than the sum of its proper divisors (19525406208).

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

7224881664 is a wasteful number, since it uses less digits than its factorization.

7224881664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 7224881664 is about 84999.3039030321. The cubic root of 7224881664 is about 1933.2005620541.

It can be divided in two parts, 7224 and 881664, that added together give a palindrome (888888).

The spelling of 7224881664 in words is "seven billion, two hundred twenty-four million, eight hundred eighty-one thousand, six hundred sixty-four".