27794067840 has 1152 divisors, whose sum is σ = 125623330560. Its totient is φ = 5748019200.

The previous prime is 27794067779. The next prime is 27794067871. The reversal of 27794067840 is 4876049772.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131725335 + ... + 131725545.

It is an arithmetic number, because the mean of its divisors is an integer number (109048030).

Almost surely, 2^27794067840 is an apocalyptic number.

27794067840 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 27794067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62811665280).

27794067840 is an abundant number, since it is smaller than the sum of its proper divisors (97829262720).

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

27794067840 is a wasteful number, since it uses less digits than its factorization.

27794067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 27794067840 in words is "twenty-seven billion, seven hundred ninety-four million, sixty-seven thousand, eight hundred forty".