27726666240 has 640 divisors, whose sum is σ = 110487928320. Its totient is φ = 5775556608.

The previous prime is 27726666223. The next prime is 27726666269. The reversal of 27726666240 is 4266662772.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27726666240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67791156 + ... + 67791564.

It is an arithmetic number, because the mean of its divisors is an integer number (172637388).

Almost surely, 2^27726666240 is an apocalyptic number.

27726666240 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 27726666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55243964160).

27726666240 is an abundant number, since it is smaller than the sum of its proper divisors (82761262080).

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

27726666240 is a wasteful number, since it uses less digits than its factorization.

27726666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 27726666240 in words is "twenty-seven billion, seven hundred twenty-six million, six hundred sixty-six thousand, two hundred forty".