27612900672 has 112 divisors (see below), whose sum is σ = 83537828352. Its totient is φ = 7885463040.

The previous prime is 27612900671. The next prime is 27612900701. The reversal of 27612900672 is 27600921672.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27612900671) 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 15 ways as a sum of consecutive naturals, for example, 3666703 + ... + 3674225.

Almost surely, 2^27612900672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27612900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41768914176).

27612900672 is an abundant number, since it is smaller than the sum of its proper divisors (55924927680).

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

27612900672 is a wasteful number, since it uses less digits than its factorization.

27612900672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276 (or 10266 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 27612900672 in words is "twenty-seven billion, six hundred twelve million, nine hundred thousand, six hundred seventy-two".