729797040000 has 1920 divisors, whose sum is σ = 3229102356480. Its totient is φ = 160496640000.

The previous prime is 729797039989. The next prime is 729797040019. The reversal of 729797040000 is 40797927.

It is a happy number.

729797040000 is a `hidden beast` number, since 72 + 97 + 97 + 0 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4218479914 + ... + 4218480086.

It is an arithmetic number, because the mean of its divisors is an integer number (1681824144).

Almost surely, 2^729797040000 is an apocalyptic number.

729797040000 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 729797040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614551178240).

729797040000 is an abundant number, since it is smaller than the sum of its proper divisors (2499305316480).

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

729797040000 is an equidigital number, since it uses as much as digits as its factorization.

729797040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 729797040000 in words is "seven hundred twenty-nine billion, seven hundred ninety-seven million, forty thousand".