693407030899968 has 3456 divisors, whose sum is σ = 2798622822912000. Its totient is φ = 165188218060800.

The previous prime is 693407030899927. The next prime is 693407030899969. The reversal of 693407030899968 is 869998030704396.

693407030899968 is a `hidden beast` number, since 6 + 9 + 3 + 407 + 0 + 30 + 8 + 99 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693407030899969) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1362292791298 + ... + 1362292791806.

Almost surely, 2^{693407030899968} 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 693407030899968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399311411456000).

693407030899968 is an abundant number, since it is smaller than the sum of its proper divisors (2105215792012032).

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

693407030899968 is a wasteful number, since it uses less digits than its factorization.

693407030899968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 81.

The spelling of 693407030899968 in words is "six hundred ninety-three trillion, four hundred seven billion, thirty million, eight hundred ninety-nine thousand, nine hundred sixty-eight".