729162788340 has 192 divisors, whose sum is σ = 2456842752000. Its totient is φ = 157847906304.

The previous prime is 729162788311. The next prime is 729162788353. The reversal of 729162788340 is 43887261927.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32299737 + ... + 32322303.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056000).

Almost surely, 2^729162788340 is an apocalyptic number.

729162788340 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 729162788340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228421376000).

729162788340 is an abundant number, since it is smaller than the sum of its proper divisors (1727679963660).

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

729162788340 is a wasteful number, since it uses less digits than its factorization.

729162788340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26654 (or 26652 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 729162788340 in words is "seven hundred twenty-nine billion, one hundred sixty-two million, seven hundred eighty-eight thousand, three hundred forty".