729066147840 has 260 divisors, whose sum is σ = 2613524027004. Its totient is φ = 194417197056.

The previous prime is 729066147791. The next prime is 729066147857. The reversal of 729066147840 is 48741660927.

729066147840 is a `hidden beast` number, since 72 + 9 + 0 + 6 + 61 + 478 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108172578816 + 620893569024 = 328896^2 + 787968^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1439134 + ... + 1878626.

Almost surely, 2^729066147840 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 729066147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306762013502).

729066147840 is an abundant number, since it is smaller than the sum of its proper divisors (1884457879164).

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

729066147840 is an equidigital number, since it uses as much as digits as its factorization.

729066147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439534 (or 439503 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 729066147840 in words is "seven hundred twenty-nine billion, sixty-six million, one hundred forty-seven thousand, eight hundred forty".