279920632320 has 480 divisors, whose sum is σ = 1116477648000. Its totient is φ = 63488655360.

The previous prime is 279920632319. The next prime is 279920632331. The reversal of 279920632320 is 23236029972.

279920632320 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 2 + 0 + 632 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 21121056 + ... + 21134304.

It is an arithmetic number, because the mean of its divisors is an integer number (2325995100).

Almost surely, 2^279920632320 is an apocalyptic number.

279920632320 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 279920632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558238824000).

279920632320 is an abundant number, since it is smaller than the sum of its proper divisors (836557015680).

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

279920632320 is a wasteful number, since it uses less digits than its factorization.

279920632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13416 (or 13397 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 279920632320 in words is "two hundred seventy-nine billion, nine hundred twenty million, six hundred thirty-two thousand, three hundred twenty".