27962320464 has 240 divisors, whose sum is σ = 85845286800. Its totient is φ = 8445026304.

The previous prime is 27962320453. The next prime is 27962320481. The reversal of 27962320464 is 46402326972.

It can be written as a sum of positive squares in 8 ways, for example, as 6055952400 + 21906368064 = 77820^2 + 148008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26156922 + ... + 26157990.

It is an arithmetic number, because the mean of its divisors is an integer number (357688695).

Almost surely, 2^27962320464 is an apocalyptic number.

27962320464 is a gapful number since it is divisible by the number (24) 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 27962320464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42922643400).

27962320464 is an abundant number, since it is smaller than the sum of its proper divisors (57882966336).

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

27962320464 is a wasteful number, since it uses less digits than its factorization.

27962320464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 27962320464 in words is "twenty-seven billion, nine hundred sixty-two million, three hundred twenty thousand, four hundred sixty-four".