690093595935744 has 2816 divisors, whose sum is σ = 2634629403893760. Its totient is φ = 154812284928000.

The previous prime is 690093595935743. The next prime is 690093595935761. The reversal of 690093595935744 is 447539595390096.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 690093595935744.

It is not an unprimeable number, because it can be changed into a prime (690093595935743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 632533084639 + ... + 632533085729.

Almost surely, 2^{690093595935744} is an apocalyptic number.

690093595935744 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 690093595935744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317314701946880).

690093595935744 is an abundant number, since it is smaller than the sum of its proper divisors (1944535807958016).

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

690093595935744 is a wasteful number, since it uses less digits than its factorization.

690093595935744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 4960116000, while the sum is 78.

The spelling of 690093595935744 in words is "six hundred ninety trillion, ninety-three billion, five hundred ninety-five million, nine hundred thirty-five thousand, seven hundred forty-four".