7329107968 has 234 divisors, whose sum is σ = 18713764734. Its totient is φ = 2844721152.

The previous prime is 7329107927. The next prime is 7329107977. The reversal of 7329107968 is 8697019237.

It can be written as a sum of positive squares in 3 ways, for example, as 1252593664 + 6076514304 = 35392^2 + 77952^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138285030 + ... + 138285082.

Almost surely, 2^7329107968 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 7329107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356882367).

7329107968 is an abundant number, since it is smaller than the sum of its proper divisors (11384656766).

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

7329107968 is an equidigital number, since it uses as much as digits as its factorization.

7329107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The square root of 7329107968 is about 85610.2094846170. The cubic root of 7329107968 is about 1942.4523463136.

Multiplying 7329107968 by its sum of digits (52), we get a square (381113614336 = 617344²).

7329107968 divided by its sum of digits (52) gives a square (140944384 = 11872²).

The spelling of 7329107968 in words is "seven billion, three hundred twenty-nine million, one hundred seven thousand, nine hundred sixty-eight".