693331591680 has 2400 divisors, whose sum is σ = 3235994601840. Its totient is φ = 140460687360.

The previous prime is 693331591669. The next prime is 693331591697. The reversal of 693331591680 is 86195133396.

It can be written as a sum of positive squares in 8 ways, for example, as 25044961536 + 668286630144 = 158256^2 + 817488^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3830561190 + ... + 3830561370.

Almost surely, 2^693331591680 is an apocalyptic number.

693331591680 is a gapful number since it is divisible by the number (60) 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 693331591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617997300920).

693331591680 is an abundant number, since it is smaller than the sum of its proper divisors (2542663010160).

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

693331591680 is a wasteful number, since it uses less digits than its factorization.

693331591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 693331591680 in words is "six hundred ninety-three billion, three hundred thirty-one million, five hundred ninety-one thousand, six hundred eighty".