729198995616 has 576 divisors, whose sum is σ = 2654681702400. Its totient is φ = 191738244096.

The previous prime is 729198995573. The next prime is 729198995663. The reversal of 729198995616 is 616599891927.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 268185105 + ... + 268187823.

It is an arithmetic number, because the mean of its divisors is an integer number (4608822400).

Almost surely, 2^729198995616 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 729198995616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327340851200).

729198995616 is an abundant number, since it is smaller than the sum of its proper divisors (1925482706784).

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

729198995616 is a wasteful number, since it uses less digits than its factorization.

729198995616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3123 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 72.

The spelling of 729198995616 in words is "seven hundred twenty-nine billion, one hundred ninety-eight million, nine hundred ninety-five thousand, six hundred sixteen".