27207600640 has 320 divisors, whose sum is σ = 74089686528. Its totient is φ = 9496166400.

The previous prime is 27207600631. The next prime is 27207600691. The reversal of 27207600640 is 4600670272.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 27207600596 and 27207600605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80734552 + ... + 80734888.

Almost surely, 2^27207600640 is an apocalyptic number.

27207600640 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 27207600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37044843264).

27207600640 is an abundant number, since it is smaller than the sum of its proper divisors (46882085888).

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

27207600640 is a wasteful number, since it uses less digits than its factorization.

27207600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 27207600640 in words is "twenty-seven billion, two hundred seven million, six hundred thousand, six hundred forty".