27631538979408 has 480 divisors, whose sum is σ = 100554457436160. Its totient is φ = 6878397035520.

The previous prime is 27631538979383. The next prime is 27631538979419. The reversal of 27631538979408 is 80497983513672.

27631538979408 is a `hidden beast` number, since 2 + 7 + 63 + 15 + 3 + 89 + 79 + 408 = 666.

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

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, 67267735 + ... + 67677257.

It is an arithmetic number, because the mean of its divisors is an integer number (209488452992).

It is a 1-persistent number, because it is pandigital, but 2⋅27631538979408 = 55263077958816 is not.

Almost surely, 2^{27631538979408} is an apocalyptic number.

27631538979408 is a gapful number since it is divisible by the number (28) 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 27631538979408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50277228718080).

27631538979408 is an abundant number, since it is smaller than the sum of its proper divisors (72922918456752).

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

27631538979408 is a wasteful number, since it uses less digits than its factorization.

27631538979408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409847 (or 409838 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 27631538979408 in words is "twenty-seven trillion, six hundred thirty-one billion, five hundred thirty-eight million, nine hundred seventy-nine thousand, four hundred eight".