731319673357728 has 3024 divisors, whose sum is σ = 2831952286711296. Its totient is φ = 181689974968320.

The previous prime is 731319673357699. The next prime is 731319673357733. The reversal of 731319673357728 is 827753376913137.

731319673357728 is a `hidden beast` number, since 7 + 3 + 1 + 3 + 19 + 6 + 7 + 33 + 577 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 5758422624801 + ... + 5758422624927.

It is an arithmetic number, because the mean of its divisors is an integer number (936492158304).

Almost surely, 2^{731319673357728} is an apocalyptic number.

731319673357728 is a gapful number since it is divisible by the number (78) 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 731319673357728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415976143355648).

731319673357728 is an abundant number, since it is smaller than the sum of its proper divisors (2100632613353568).

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

731319673357728 is a wasteful number, since it uses less digits than its factorization.

731319673357728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 236 counting only the distinct ones).

The product of its digits is 840157920, while the sum is 72.

The spelling of 731319673357728 in words is "seven hundred thirty-one trillion, three hundred nineteen billion, six hundred seventy-three million, three hundred fifty-seven thousand, seven hundred twenty-eight".