693347387904 has 240 divisors, whose sum is σ = 2057916943368. Its totient is φ = 224564576256.

The previous prime is 693347387903. The next prime is 693347387947. The reversal of 693347387904 is 409783743396.

693347387904 is a `hidden beast` number, since 6 + 93 + 3 + 473 + 8 + 79 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 685504514304 + 7842873600 = 827952^2 + 88560^2 .

It is not an unprimeable number, because it can be changed into a prime (693347387903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149522674 + ... + 149527310.

Almost surely, 2^693347387904 is an apocalyptic number.

693347387904 is a gapful number since it is divisible by the number (64) 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 693347387904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028958471684).

693347387904 is an abundant number, since it is smaller than the sum of its proper divisors (1364569555464).

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

693347387904 is a wasteful number, since it uses less digits than its factorization.

693347387904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575 (or 5556 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 693347387904 in words is "six hundred ninety-three billion, three hundred forty-seven million, three hundred eighty-seven thousand, nine hundred four".