27738811376640 has 3960 divisors, whose sum is σ = 128912458047912. Its totient is φ = 5680854466560.

The previous prime is 27738811376623. The next prime is 27738811376677. The reversal of 27738811376640 is 4667311883772.

27738811376640 is a `hidden beast` number, since 2 + 77 + 388 + 113 + 76 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 14687412397056 + 13051398979584 = 3832416^2 + 3612672^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 140806149022 + ... + 140806149218.

Almost surely, 2^{27738811376640} is an apocalyptic number.

27738811376640 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 27738811376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64456229023956).

27738811376640 is an abundant number, since it is smaller than the sum of its proper divisors (101173646671272).

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

27738811376640 is a wasteful number, since it uses less digits than its factorization.

27738811376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 27738811376640 in words is "twenty-seven trillion, seven hundred thirty-eight billion, eight hundred eleven million, three hundred seventy-six thousand, six hundred forty".