729686432400 has 240 divisors, whose sum is σ = 2369877109824. Its totient is φ = 191890391040.

The previous prime is 729686432399. The next prime is 729686432413. The reversal of 729686432400 is 4234686927.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 57462852 + ... + 57475548.

Almost surely, 2^729686432400 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 729686432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184938554912).

729686432400 is an abundant number, since it is smaller than the sum of its proper divisors (1640190677424).

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

729686432400 is a wasteful number, since it uses less digits than its factorization.

729686432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378 (or 13367 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 729686432400 in words is "seven hundred twenty-nine billion, six hundred eighty-six million, four hundred thirty-two thousand, four hundred".