27876532320 has 576 divisors, whose sum is σ = 121433195520. Its totient is φ = 5880895488.

The previous prime is 27876532319. The next prime is 27876532331. The reversal of 27876532320 is 2323567872.

27876532320 is a `hidden beast` number, since 2 + 7 + 87 + 6 + 532 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3534141 + ... + 3542019.

It is an arithmetic number, because the mean of its divisors is an integer number (210821520).

Almost surely, 2^27876532320 is an apocalyptic number.

27876532320 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 27876532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60716597760).

27876532320 is an abundant number, since it is smaller than the sum of its proper divisors (93556663200).

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

27876532320 is a wasteful number, since it uses less digits than its factorization.

27876532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7929 (or 7909 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 27876532320 in words is "twenty-seven billion, eight hundred seventy-six million, five hundred thirty-two thousand, three hundred twenty".