27796335840 has 1440 divisors, whose sum is σ = 127224820800. Its totient is φ = 5706215424.

The previous prime is 27796335839. The next prime is 27796335841. The reversal of 27796335840 is 4853369772.

27796335840 is a `hidden beast` number, since 27 + 7 + 9 + 6 + 33 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27796335839) and next prime (27796335841).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×27796335840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27796335841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 751252302 + ... + 751252338.

It is an arithmetic number, because the mean of its divisors is an integer number (88350570).

Almost surely, 2^27796335840 is an apocalyptic number.

27796335840 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 27796335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63612410400).

27796335840 is an abundant number, since it is smaller than the sum of its proper divisors (99428484960).

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

27796335840 is a wasteful number, since it uses less digits than its factorization.

27796335840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 27796335840 in words is "twenty-seven billion, seven hundred ninety-six million, three hundred thirty-five thousand, eight hundred forty".