27976333440 has 256 divisors, whose sum is σ = 99913357440. Its totient is φ = 6598656000.

The previous prime is 27976333421. The next prime is 27976333447. The reversal of 27976333440 is 4433367972.

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 27976333440.

It is not an unprimeable number, because it can be changed into a prime (27976333447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763540 + ... + 799340.

Almost surely, 2^27976333440 is an apocalyptic number.

27976333440 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 27976333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49956678720).

27976333440 is an abundant number, since it is smaller than the sum of its proper divisors (71937024000).

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

27976333440 is a wasteful number, since it uses less digits than its factorization.

27976333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35871 (or 35859 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 48.

The spelling of 27976333440 in words is "twenty-seven billion, nine hundred seventy-six million, three hundred thirty-three thousand, four hundred forty".