693738809493408 has 288 divisors, whose sum is σ = 2353038949287936. Its totient is φ = 189564243669504.

The previous prime is 693738809493407. The next prime is 693738809493413. The reversal of 693738809493408 is 804394908837396.

693738809493408 is a `hidden beast` number, since 6 + 9 + 3 + 7 + 3 + 8 + 80 + 9 + 493 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (693738809493407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303173341 + ... + 305453027.

It is an arithmetic number, because the mean of its divisors is an integer number (8170274129472).

Almost surely, 2^{693738809493408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693738809493408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176519474643968).

693738809493408 is an abundant number, since it is smaller than the sum of its proper divisors (1659300139794528).

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

693738809493408 is a wasteful number, since it uses less digits than its factorization.

693738809493408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286296 (or 2286285 counting only the distinct ones).

The product of its (nonzero) digits is 6772211712, while the sum is 81.

The spelling of 693738809493408 in words is "six hundred ninety-three trillion, seven hundred thirty-eight billion, eight hundred nine million, four hundred ninety-three thousand, four hundred eight".