290223667680 has 96 divisors (see below), whose sum is σ = 914967573408. Its totient is φ = 77328384000.

The previous prime is 290223667673. The next prime is 290223667693. The reversal of 290223667680 is 86766322092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×290223667680³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324760 + ... + 828200.

It is an arithmetic number, because the mean of its divisors is an integer number (9530912223).

Almost surely, 2^290223667680 is an apocalyptic number.

290223667680 is a gapful number since it is divisible by the number (20) 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 290223667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457483786704).

290223667680 is an abundant number, since it is smaller than the sum of its proper divisors (624743905728).

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

290223667680 is a wasteful number, since it uses less digits than its factorization.

290223667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504660 (or 504652 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 290223667680 in words is "two hundred ninety billion, two hundred twenty-three million, six hundred sixty-seven thousand, six hundred eighty".