27222841376640 has 5120 divisors, whose sum is σ = 131374172160000. Its totient is φ = 5325801062400.

The previous prime is 27222841376639. The next prime is 27222841376657. The reversal of 27222841376640 is 4667314822272.

27222841376640 is a `hidden beast` number, since 2 + 7 + 2 + 228 + 4 + 1 + 376 + 6 + 40 = 666.

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 639 ways as a sum of consecutive naturals, for example, 207807949375 + ... + 207807949505.

It is an arithmetic number, because the mean of its divisors is an integer number (25659018000).

Almost surely, 2^{27222841376640} is an apocalyptic number.

27222841376640 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 27222841376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65687086080000).

27222841376640 is an abundant number, since it is smaller than the sum of its proper divisors (104151330783360).

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

27222841376640 is a wasteful number, since it uses less digits than its factorization.

27222841376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 27222841376640 in words is "twenty-seven trillion, two hundred twenty-two billion, eight hundred forty-one million, three hundred seventy-six thousand, six hundred forty".