280233607680 has 960 divisors, whose sum is σ = 1081010810880. Its totient is φ = 66663088128.

The previous prime is 280233607657. The next prime is 280233607711. The reversal of 280233607680 is 86706332082.

280233607680 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 33 + 607 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2016069051 + ... + 2016069189.

It is an arithmetic number, because the mean of its divisors is an integer number (1126052928).

Almost surely, 2^280233607680 is an apocalyptic number.

280233607680 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 280233607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540505405440).

280233607680 is an abundant number, since it is smaller than the sum of its proper divisors (800777203200).

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

280233607680 is a wasteful number, since it uses less digits than its factorization.

280233607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 280233607680 in words is "two hundred eighty billion, two hundred thirty-three million, six hundred seven thousand, six hundred eighty".