27078782976 has 624 divisors, whose sum is σ = 98606534400. Its totient is φ = 7301726208.

The previous prime is 27078782971. The next prime is 27078783001. The reversal of 27078782976 is 67928787072.

27078782976 is a `hidden beast` number, since 270 + 7 + 8 + 78 + 297 + 6 = 666.

It is a super-2 number, since 2×27078782976² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (27078782971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102961021 + ... + 102961283.

Almost surely, 2^27078782976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27078782976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49303267200).

27078782976 is an abundant number, since it is smaller than the sum of its proper divisors (71527751424).

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

27078782976 is a wasteful number, since it uses less digits than its factorization.

27078782976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 27078782976 in words is "twenty-seven billion, seventy-eight million, seven hundred eighty-two thousand, nine hundred seventy-six".