27398479680 has 672 divisors, whose sum is σ = 112393951488. Its totient is φ = 6038323200.

The previous prime is 27398479673. The next prime is 27398479697. The reversal of 27398479680 is 8697489372.

27398479680 is a `hidden beast` number, since 2 + 73 + 98 + 479 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29240172 + ... + 29241108.

It is an arithmetic number, because the mean of its divisors is an integer number (167252904).

Almost surely, 2^27398479680 is an apocalyptic number.

27398479680 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 27398479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56196975744).

27398479680 is an abundant number, since it is smaller than the sum of its proper divisors (84995471808).

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

27398479680 is a wasteful number, since it uses less digits than its factorization.

27398479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 27398479680 in words is "twenty-seven billion, three hundred ninety-eight million, four hundred seventy-nine thousand, six hundred eighty".