27876804480 has 768 divisors, whose sum is σ = 118156147200. Its totient is φ = 6145155072.

The previous prime is 27876804457. The next prime is 27876804499. The reversal of 27876804480 is 8440867872.

It is a happy number.

27876804480 is a `hidden beast` number, since 2 + 7 + 87 + 6 + 80 + 4 + 480 = 666.

It is a super-2 number, since 2×27876804480² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31570119 + ... + 31571001.

It is an arithmetic number, because the mean of its divisors is an integer number (153849150).

Almost surely, 2^27876804480 is an apocalyptic number.

27876804480 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 27876804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59078073600).

27876804480 is an abundant number, since it is smaller than the sum of its proper divisors (90279342720).

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

27876804480 is an equidigital number, since it uses as much as digits as its factorization.

27876804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 27876804480 in words is "twenty-seven billion, eight hundred seventy-six million, eight hundred four thousand, four hundred eighty".