731893675968 has 672 divisors, whose sum is σ = 2728266750720. Its totient is φ = 190677473280.

The previous prime is 731893675901. The next prime is 731893675987. The reversal of 731893675968 is 869576398137.

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

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 = 731893675896 and 731893675905.

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 95 ways as a sum of consecutive naturals, for example, 91357083 + ... + 91365093.

It is an arithmetic number, because the mean of its divisors is an integer number (4059920760).

Almost surely, 2^731893675968 is an apocalyptic number.

731893675968 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 731893675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364133375360).

731893675968 is an abundant number, since it is smaller than the sum of its proper divisors (1996373074752).

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

731893675968 is a wasteful number, since it uses less digits than its factorization.

731893675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 8119 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 731893675968 in words is "seven hundred thirty-one billion, eight hundred ninety-three million, six hundred seventy-five thousand, nine hundred sixty-eight".