27756957690 has 640 divisors, whose sum is σ = 99860428800. Its totient is φ = 5357975040.

The previous prime is 27756957667. The next prime is 27756957703. The reversal of 27756957690 is 9675965772.

27756957690 is a `hidden beast` number, since 2 + 7 + 7 + 56 + 9 + 576 + 9 + 0 = 666.

It is a super-2 number, since 2×27756957690² (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 69916572 + ... + 69916968.

It is an arithmetic number, because the mean of its divisors is an integer number (156031920).

Almost surely, 2^27756957690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27756957690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49930214400).

27756957690 is an abundant number, since it is smaller than the sum of its proper divisors (72103471110).

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

27756957690 is a wasteful number, since it uses less digits than its factorization.

27756957690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 27756957690 in words is "twenty-seven billion, seven hundred fifty-six million, nine hundred fifty-seven thousand, six hundred ninety".