280642440960 has 576 divisors, whose sum is σ = 1205129318400. Its totient is φ = 60372615168.

The previous prime is 280642440941. The next prime is 280642441031. The reversal of 280642440960 is 69044246082.

280642440960 is a `hidden beast` number, since 2 + 80 + 6 + 42 + 440 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4078521 + ... + 4146759.

It is an arithmetic number, because the mean of its divisors is an integer number (2092238400).

Almost surely, 2^280642440960 is an apocalyptic number.

280642440960 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 280642440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602564659200).

280642440960 is an abundant number, since it is smaller than the sum of its proper divisors (924486877440).

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

280642440960 is a wasteful number, since it uses less digits than its factorization.

280642440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68293 (or 68273 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 280642440960 in words is "two hundred eighty billion, six hundred forty-two million, four hundred forty thousand, nine hundred sixty".