728179261591320 has 6144 divisors, whose sum is σ = 3410754954854400. Its totient is φ = 134033356800000.

The previous prime is 728179261591253. The next prime is 728179261591349. The reversal of 728179261591320 is 23195162971827.

It is a happy number.

728179261591320 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 7 + 9 + 2 + 6 + 1 + 591 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 5733694973097 + ... + 5733694973223.

It is an arithmetic number, because the mean of its divisors is an integer number (555135897600).

Almost surely, 2^{728179261591320} is an apocalyptic number.

728179261591320 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 728179261591320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705377477427200).

728179261591320 is an abundant number, since it is smaller than the sum of its proper divisors (2682575693263080).

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

728179261591320 is a wasteful number, since it uses less digits than its factorization.

728179261591320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 728179261591320 in words is "seven hundred twenty-eight trillion, one hundred seventy-nine billion, two hundred sixty-one million, five hundred ninety-one thousand, three hundred twenty".