27697490772224 has 432 divisors, whose sum is σ = 72543800289408. Its totient is φ = 10275557474304.

The previous prime is 27697490772209. The next prime is 27697490772229. The reversal of 27697490772224 is 42227709479672.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (27697490772229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905302684 + ... + 1905317220.

Almost surely, 2^{27697490772224} 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 27697490772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36271900144704).

27697490772224 is an abundant number, since it is smaller than the sum of its proper divisors (44846309517184).

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

27697490772224 is a wasteful number, since it uses less digits than its factorization.

27697490772224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890 (or 14859 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 68.

The spelling of 27697490772224 in words is "twenty-seven trillion, six hundred ninety-seven billion, four hundred ninety million, seven hundred seventy-two thousand, two hundred twenty-four".