27762483420672 has 2560 divisors, whose sum is σ = 106269038346240. Its totient is φ = 6210846720000.

The previous prime is 27762483420671. The next prime is 27762483420701. The reversal of 27762483420672 is 27602438426772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27762483420671) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 274876073422 + ... + 274876073522.

It is an arithmetic number, because the mean of its divisors is an integer number (41511343104).

Almost surely, 2^{27762483420672} is an apocalyptic number.

27762483420672 is a gapful number since it is divisible by the number (22) 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 27762483420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53134519173120).

27762483420672 is an abundant number, since it is smaller than the sum of its proper divisors (78506554925568).

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

27762483420672 is a wasteful number, since it uses less digits than its factorization.

27762483420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 60.

The spelling of 27762483420672 in words is "twenty-seven trillion, seven hundred sixty-two billion, four hundred eighty-three million, four hundred twenty thousand, six hundred seventy-two".