278784487872 has 336 divisors, whose sum is σ = 890253012480. Its totient is φ = 83392657920.

The previous prime is 278784487859. The next prime is 278784487879.

278784487872 is a `hidden beast` number, since 2 + 7 + 8 + 78 + 4 + 487 + 8 + 72 = 666.

278784487872 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

278784487872 is a modest number, since divided by 487872 gives 278784 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 278784487872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278784487879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60563523 + ... + 60568125.

Almost surely, 2^278784487872 is an apocalyptic number.

278784487872 is a gapful number since it is divisible by the number (22) 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 278784487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445126506240).

278784487872 is an abundant number, since it is smaller than the sum of its proper divisors (611468524608).

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

278784487872 is a wasteful number, since it uses less digits than its factorization.

278784487872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4698 counting only the distinct ones).

The product of its digits is 629407744, while the sum is 72.

The spelling of 278784487872 in words is "two hundred seventy-eight billion, seven hundred eighty-four million, four hundred eighty-seven thousand, eight hundred seventy-two".