7328729664 has 315 divisors, whose sum is σ = 23061764011. Its totient is φ = 2301143040.

The previous prime is 7328729651. The next prime is 7328729671. The reversal of 7328729664 is 4669278237.

The square root of 7328729664 is 85608.

It is a perfect power (a square), and thus also a powerful number.

7328729664 is a `hidden beast` number, since 73 + 287 + 296 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1935296064 + 5393433600 = 43992^2 + 73440^2 .

It is a super-3 number, since 3×7328729664³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7328729664.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 178749484 + ... + 178749524.

Almost surely, 2^7328729664 is an apocalyptic number.

7328729664 is the 85608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7328729664

7328729664 is an abundant number, since it is smaller than the sum of its proper divisors (15733034347).

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

7328729664 is an equidigital number, since it uses as much as digits as its factorization.

7328729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 75 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The cubic root of 7328729664 is about 1942.4189247776.

The spelling of 7328729664 in words is "seven billion, three hundred twenty-eight million, seven hundred twenty-nine thousand, six hundred sixty-four".