27616343040 has 1056 divisors, whose sum is σ = 117089710080. Its totient is φ = 6131220480.

The previous prime is 27616343023. The next prime is 27616343059. The reversal of 27616343040 is 4034361672.

It is a happy number.

27616343040 is a `hidden beast` number, since 2 + 7 + 616 + 3 + 4 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a junction number, because it is equal to n+sod(n) for n = 27616342986 and 27616343004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217451457 + ... + 217451583.

Almost surely, 2^27616343040 is an apocalyptic number.

27616343040 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 27616343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544855040).

27616343040 is an abundant number, since it is smaller than the sum of its proper divisors (89473367040).

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

27616343040 is a wasteful number, since it uses less digits than its factorization.

27616343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 27616343040 in words is "twenty-seven billion, six hundred sixteen million, three hundred forty-three thousand, forty".