27391736840 has 256 divisors, whose sum is σ = 73483200000. Its totient is φ = 9092210688.

The previous prime is 27391736837. The next prime is 27391736843. The reversal of 27391736840 is 4863719372.

It is an interprime number because it is at equal distance from previous prime (27391736837) and next prime (27391736843).

It is a super-2 number, since 2×27391736840² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27391736843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33858356 + ... + 33859164.

It is an arithmetic number, because the mean of its divisors is an integer number (287043750).

Almost surely, 2^27391736840 is an apocalyptic number.

27391736840 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 27391736840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36741600000).

27391736840 is an abundant number, since it is smaller than the sum of its proper divisors (46091463160).

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

27391736840 is a wasteful number, since it uses less digits than its factorization.

27391736840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 27391736840 in words is "twenty-seven billion, three hundred ninety-one million, seven hundred thirty-six thousand, eight hundred forty".