729765765120 has 672 divisors, whose sum is σ = 2859764054400. Its totient is φ = 157999693824.

The previous prime is 729765765103. The next prime is 729765765143. The reversal of 729765765120 is 21567567927.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×729765765120² (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114398091 + ... + 114404469.

Almost surely, 2^729765765120 is an apocalyptic number.

729765765120 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 729765765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429882027200).

729765765120 is an abundant number, since it is smaller than the sum of its proper divisors (2129998289280).

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

729765765120 is a wasteful number, since it uses less digits than its factorization.

729765765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 57.

The spelling of 729765765120 in words is "seven hundred twenty-nine billion, seven hundred sixty-five million, seven hundred sixty-five thousand, one hundred twenty".