27661120704 has 112 divisors (see below), whose sum is σ = 92935552000. Its totient is φ = 7903173888.

The previous prime is 27661120703. The next prime is 27661120763. The reversal of 27661120704 is 40702116672.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27661120703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131304 + ... + 1155495.

Almost surely, 2^27661120704 is an apocalyptic number.

27661120704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27661120704 is an abundant number, since it is smaller than the sum of its proper divisors (65274431296).

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

27661120704 is a wasteful number, since it uses less digits than its factorization.

27661120704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286827 (or 2286811 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 27661120704 in words is "twenty-seven billion, six hundred sixty-one million, one hundred twenty thousand, seven hundred four".