27776072740 has 144 divisors (see below), whose sum is σ = 64996259328. Its totient is φ = 9960717312.

The previous prime is 27776072729. The next prime is 27776072801. The reversal of 27776072740 is 4727067772.

It is a super-2 number, since 2×27776072740² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32410392 + ... + 32411248.

It is an arithmetic number, because the mean of its divisors is an integer number (451362912).

Almost surely, 2^27776072740 is an apocalyptic number.

27776072740 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 27776072740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32498129664).

27776072740 is an abundant number, since it is smaller than the sum of its proper divisors (37220186588).

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

27776072740 is a wasteful number, since it uses less digits than its factorization.

27776072740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 1613472, while the sum is 49.

The spelling of 27776072740 in words is "twenty-seven billion, seven hundred seventy-six million, seventy-two thousand, seven hundred forty".