729637063680 has 1408 divisors, whose sum is σ = 2957112576000. Its totient is φ = 152946081792.

The previous prime is 729637063667. The next prime is 729637063681. The reversal of 729637063680 is 86360736927.

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

It is a self number, because there is not a number n which added to its sum of digits gives 729637063680.

It is not an unprimeable number, because it can be changed into a prime (729637063681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3703741342 + ... + 3703741538.

It is an arithmetic number, because the mean of its divisors is an integer number (2100222000).

Almost surely, 2^729637063680 is an apocalyptic number.

729637063680 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 729637063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478556288000).

729637063680 is an abundant number, since it is smaller than the sum of its proper divisors (2227475512320).

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

729637063680 is a wasteful number, since it uses less digits than its factorization.

729637063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 729637063680 in words is "seven hundred twenty-nine billion, six hundred thirty-seven million, sixty-three thousand, six hundred eighty".