27722698416 has 400 divisors, whose sum is σ = 95316691008. Its totient is φ = 7614259200.

The previous prime is 27722698357. The next prime is 27722698417. The reversal of 27722698416 is 61489622772.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27722698417) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27151986 + ... + 27153006.

Almost surely, 2^27722698416 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 27722698416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47658345504).

27722698416 is an abundant number, since it is smaller than the sum of its proper divisors (67593992592).

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

27722698416 is a wasteful number, since it uses less digits than its factorization.

27722698416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1147 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 27722698416 in words is "twenty-seven billion, seven hundred twenty-two million, six hundred ninety-eight thousand, four hundred sixteen".