7331640624 has 480 divisors, whose sum is σ = 26518302720. Its totient is φ = 1836172800.

The previous prime is 7331640619. The next prime is 7331640661. The reversal of 7331640624 is 4260461337.

It is a happy number.

7331640624 is a `hidden beast` number, since 7 + 3 + 3 + 1 + 640 + 6 + 2 + 4 = 666.

It is a Cunningham number, because it is equal to 85625²-1.

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

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52745547 + ... + 52745685.

It is an arithmetic number, because the mean of its divisors is an integer number (55246464).

Almost surely, 2^7331640624 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 7331640624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13259151360).

7331640624 is an abundant number, since it is smaller than the sum of its proper divisors (19186662096).

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

7331640624 is a wasteful number, since it uses less digits than its factorization.

7331640624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 7331640624 is about 85624.9999941606. Note that the first 5 decimals coincide. The cubic root of 7331640624 is about 1942.6760659918.

The spelling of 7331640624 in words is "seven billion, three hundred thirty-one million, six hundred forty thousand, six hundred twenty-four".