27696345600 has 1920 divisors, whose sum is σ = 131520153600. Its totient is φ = 4954521600.

The previous prime is 27696345569. The next prime is 27696345641. The reversal of 27696345600 is 654369672.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27696345600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 955046386 + ... + 955046414.

It is an arithmetic number, because the mean of its divisors is an integer number (68500080).

Almost surely, 2^27696345600 is an apocalyptic number.

27696345600 is a gapful number since it is divisible by the number (20) 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 27696345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65760076800).

27696345600 is an abundant number, since it is smaller than the sum of its proper divisors (103823808000).

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

27696345600 is a wasteful number, since it uses less digits than its factorization.

27696345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 27696345600 in words is "twenty-seven billion, six hundred ninety-six million, three hundred forty-five thousand, six hundred".