729347879880 has 256 divisors, whose sum is σ = 2621535840000. Its totient is φ = 179762042880.

The previous prime is 729347879873. The next prime is 729347879891. The reversal of 729347879880 is 88978743927.

729347879880 is a `hidden beast` number, since 7 + 2 + 9 + 3 + 478 + 79 + 8 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 729347879799 and 729347879808.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407866 + ... + 1274774.

It is an arithmetic number, because the mean of its divisors is an integer number (10240374375).

Almost surely, 2^729347879880 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 729347879880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310767920000).

729347879880 is an abundant number, since it is smaller than the sum of its proper divisors (1892187960120).

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

729347879880 is a wasteful number, since it uses less digits than its factorization.

729347879880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866989 (or 866979 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 729347879880 in words is "seven hundred twenty-nine billion, three hundred forty-seven million, eight hundred seventy-nine thousand, eight hundred eighty".