27879314840 has 256 divisors, whose sum is σ = 72999360000. Its totient is φ = 9552950784.

The previous prime is 27879314839. The next prime is 27879314843. The reversal of 27879314840 is 4841397872.

It is a Cunningham number, because it is equal to 166971²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27879314843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98513339 + ... + 98513621.

It is an arithmetic number, because the mean of its divisors is an integer number (285153750).

Almost surely, 2^27879314840 is an apocalyptic number.

27879314840 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 27879314840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36499680000).

27879314840 is an abundant number, since it is smaller than the sum of its proper divisors (45120045160).

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

27879314840 is a wasteful number, since it uses less digits than its factorization.

27879314840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 53.

The spelling of 27879314840 in words is "twenty-seven billion, eight hundred seventy-nine million, three hundred fourteen thousand, eight hundred forty".