27763690074480 has 240 divisors, whose sum is σ = 97890529890816. Its totient is φ = 7038305809920.

The previous prime is 27763690074479. The next prime is 27763690074487. The reversal of 27763690074480 is 8447009636772.

It is a happy number.

27763690074480 is a `hidden beast` number, since 2 + 7 + 7 + 63 + 6 + 90 + 0 + 7 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27763690074487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2443516 + ... + 7842075.

Almost surely, 2^{27763690074480} is an apocalyptic number.

27763690074480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27763690074480 is an abundant number, since it is smaller than the sum of its proper divisors (70126839816336).

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

27763690074480 is a wasteful number, since it uses less digits than its factorization.

27763690074480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285796 (or 10285787 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 27763690074480 in words is "twenty-seven trillion, seven hundred sixty-three billion, six hundred ninety million, seventy-four thousand, four hundred eighty".