27426966788304 has 40 divisors (see below), whose sum is σ = 78725552819520. Its totient is φ = 9142322262624.

The previous prime is 27426966788303. The next prime is 27426966788339. The reversal of 27426966788304 is 40388766962472.

It is a happy number.

27426966788304 is a `hidden beast` number, since 2 + 7 + 426 + 96 + 6 + 7 + 88 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27426966788303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31744174092 + ... + 31744174955.

It is an arithmetic number, because the mean of its divisors is an integer number (1968138820488).

Almost surely, 2^{27426966788304} is an apocalyptic number.

27426966788304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27426966788304 is an abundant number, since it is smaller than the sum of its proper divisors (51298586031216).

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

27426966788304 is a wasteful number, since it uses less digits than its factorization.

27426966788304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63488349064 (or 63488349052 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 27426966788304 in words is "twenty-seven trillion, four hundred twenty-six billion, nine hundred sixty-six million, seven hundred eighty-eight thousand, three hundred four".