729479456160 has 576 divisors, whose sum is σ = 2971536067584. Its totient is φ = 148945305600.

The previous prime is 729479456143. The next prime is 729479456197. The reversal of 729479456160 is 61654974927.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 729479456094 and 729479456103.

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, 9440080 + ... + 9517040.

It is an arithmetic number, because the mean of its divisors is an integer number (5158916784).

Almost surely, 2^729479456160 is an apocalyptic number.

729479456160 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 729479456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485768033792).

729479456160 is an abundant number, since it is smaller than the sum of its proper divisors (2242056611424).

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

729479456160 is a wasteful number, since it uses less digits than its factorization.

729479456160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77037 (or 77022 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 729479456160 in words is "seven hundred twenty-nine billion, four hundred seventy-nine million, four hundred fifty-six thousand, one hundred sixty".