693887440896 has 768 divisors, whose sum is σ = 2376103766400. Its totient is φ = 200658124800.

The previous prime is 693887440871. The next prime is 693887440921. The reversal of 693887440896 is 698044788396.

693887440896 is a `hidden beast` number, since 6 + 93 + 8 + 8 + 7 + 440 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (693887440871) and next prime (693887440921).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 989853346 + ... + 989854046.

Almost surely, 2^693887440896 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 693887440896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188051883200).

693887440896 is an abundant number, since it is smaller than the sum of its proper divisors (1682216325504).

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

693887440896 is an equidigital number, since it uses as much as digits as its factorization.

693887440896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 693887440896 in words is "six hundred ninety-three billion, eight hundred eighty-seven million, four hundred forty thousand, eight hundred ninety-six".