27399199968 has 240 divisors, whose sum is σ = 92385637344. Its totient is φ = 7803371520.

The previous prime is 27399199967. The next prime is 27399199973. The reversal of 27399199968 is 86999199372.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 27399199896 and 27399199905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27399199967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6112288 + ... + 6116768.

Almost surely, 2^27399199968 is an apocalyptic number.

27399199968 is a gapful number since it is divisible by the number (28) 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 27399199968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46192818672).

27399199968 is an abundant number, since it is smaller than the sum of its proper divisors (64986437376).

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

27399199968 is a wasteful number, since it uses less digits than its factorization.

27399199968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4830 counting only the distinct ones).

The product of its digits is 119042784, while the sum is 72.

The spelling of 27399199968 in words is "twenty-seven billion, three hundred ninety-nine million, one hundred ninety-nine thousand, nine hundred sixty-eight".