7652224008 has 768 divisors, whose sum is σ = 28460160000. Its totient is φ = 1876193280.

The previous prime is 7652223967. The next prime is 7652224043. The reversal of 7652224008 is 8004222567.

It is a super-2 number, since 2×7652224008² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 129698683 + ... + 129698741.

It is an arithmetic number, because the mean of its divisors is an integer number (37057500).

Almost surely, 2^7652224008 is an apocalyptic number.

7652224008 is a gapful number since it is divisible by the number (78) 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 7652224008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230080000).

7652224008 is an abundant number, since it is smaller than the sum of its proper divisors (20807935992).

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

7652224008 is a wasteful number, since it uses less digits than its factorization.

7652224008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7652224008 is about 87476.9913062858. The cubic root of 7652224008 is about 1970.5882623984.

The spelling of 7652224008 in words is "seven billion, six hundred fifty-two million, two hundred twenty-four thousand, eight".