729452418240 has 896 divisors, whose sum is σ = 2919256381440. Its totient is φ = 150238789632.

The previous prime is 729452418217. The next prime is 729452418281. The reversal of 729452418240 is 42814254927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 729452418240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 682368426 + ... + 682369494.

It is an arithmetic number, because the mean of its divisors is an integer number (3258098640).

Almost surely, 2^729452418240 is an apocalyptic number.

729452418240 is a gapful number since it is divisible by the number (70) 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 729452418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459628190720).

729452418240 is an abundant number, since it is smaller than the sum of its proper divisors (2189803963200).

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

729452418240 is a wasteful number, since it uses less digits than its factorization.

729452418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 729452418240 in words is "seven hundred twenty-nine billion, four hundred fifty-two million, four hundred eighteen thousand, two hundred forty".