278940672000 has 1344 divisors, whose sum is σ = 1116350726400. Its totient is φ = 69274828800.

The previous prime is 278940671951. The next prime is 278940672029. The reversal of 278940672000 is 276049872.

It is a super-3 number, since 3×278940672000³ (a number of 35 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4727807971 + ... + 4727808029.

It is an arithmetic number, because the mean of its divisors is an integer number (830618100).

Almost surely, 2^278940672000 is an apocalyptic number.

278940672000 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 278940672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558175363200).

278940672000 is an abundant number, since it is smaller than the sum of its proper divisors (837410054400).

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

278940672000 is an frugal number, since it uses more digits than its factorization.

278940672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 278940672000 in words is "two hundred seventy-eight billion, nine hundred forty million, six hundred seventy-two thousand".