729261468000 has 576 divisors, whose sum is σ = 2890518426432. Its totient is φ = 179507404800.

The previous prime is 729261467999. The next prime is 729261468053. The reversal of 729261468000 is 864162927.

It is a happy number.

729261468000 is a `hidden beast` number, since 7 + 29 + 2 + 614 + 6 + 8 + 0 + 0 + 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, 12607144 + ... + 12664856.

It is an arithmetic number, because the mean of its divisors is an integer number (5018261157).

Almost surely, 2^729261468000 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 729261468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445259213216).

729261468000 is an abundant number, since it is smaller than the sum of its proper divisors (2161256958432).

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

729261468000 is a wasteful number, since it uses less digits than its factorization.

729261468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57766 (or 57736 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 729261468000 in words is "seven hundred twenty-nine billion, two hundred sixty-one million, four hundred sixty-eight thousand".