729324223740 has 288 divisors, whose sum is σ = 2674920568320. Its totient is φ = 157126169088.

The previous prime is 729324223729. The next prime is 729324223763. The reversal of 729324223740 is 47322423927.

729324223740 is a `hidden beast` number, since 72 + 93 + 2 + 422 + 3 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4638859 + ... + 4793501.

It is an arithmetic number, because the mean of its divisors is an integer number (9287918640).

Almost surely, 2^729324223740 is an apocalyptic number.

729324223740 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 729324223740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337460284160).

729324223740 is an abundant number, since it is smaller than the sum of its proper divisors (1945596344580).

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

729324223740 is a wasteful number, since it uses less digits than its factorization.

729324223740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154881 (or 154876 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 729324223740 in words is "seven hundred twenty-nine billion, three hundred twenty-four million, two hundred twenty-three thousand, seven hundred forty".