280008368640 has 3200 divisors, whose sum is σ = 1437388001280. Its totient is φ = 50164531200.

The previous prime is 280008368617. The next prime is 280008368641. The reversal of 280008368640 is 46863800082.

It is a happy number.

280008368640 is a `hidden beast` number, since 280 + 0 + 0 + 8 + 368 + 6 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (280008368641) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3943779805 + ... + 3943779875.

Almost surely, 2^280008368640 is an apocalyptic number.

280008368640 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 280008368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718694000640).

280008368640 is an abundant number, since it is smaller than the sum of its proper divisors (1157379632640).

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

280008368640 is a wasteful number, since it uses less digits than its factorization.

280008368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 280008368640 in words is "two hundred eighty billion, eight million, three hundred sixty-eight thousand, six hundred forty".