731208827068416 has 672 divisors, whose sum is σ = 2301553712839680. Its totient is φ = 223454613012480.

The previous prime is 731208827068409. The next prime is 731208827068429. The reversal of 731208827068416 is 614860728802137.

It is a happy number.

731208827068416 is a `hidden beast` number, since 7 + 3 + 1 + 208 + 8 + 2 + 7 + 0 + 6 + 8 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15676687591 + ... + 15676734233.

Almost surely, 2^{731208827068416} is an apocalyptic number.

731208827068416 is a gapful number since it is divisible by the number (76) 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 731208827068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150776856419840).

731208827068416 is an abundant number, since it is smaller than the sum of its proper divisors (1570344885771264).

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

731208827068416 is an equidigital number, since it uses as much as digits as its factorization.

731208827068416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46763 (or 46698 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 731208827068416 in words is "seven hundred thirty-one trillion, two hundred eight billion, eight hundred twenty-seven million, sixty-eight thousand, four hundred sixteen".