690891072000 has 320 divisors, whose sum is σ = 2417949705600. Its totient is φ = 174539980800.

The previous prime is 690891071917. The next prime is 690891072007. The reversal of 690891072000 is 270198096.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×690891072000³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (690891072007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3553306 + ... + 3742694.

It is an arithmetic number, because the mean of its divisors is an integer number (7556092830).

Almost surely, 2^690891072000 is an apocalyptic number.

690891072000 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 690891072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208974852800).

690891072000 is an abundant number, since it is smaller than the sum of its proper divisors (1727058633600).

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

690891072000 is a wasteful number, since it uses less digits than its factorization.

690891072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189444 (or 189418 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 690891072000 in words is "six hundred ninety billion, eight hundred ninety-one million, seventy-two thousand".