27431024640 has 384 divisors, whose sum is σ = 90574848000. Its totient is φ = 7084965888.

The previous prime is 27431024627. The next prime is 27431024651. The reversal of 27431024640 is 4642013472.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×27431024640² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215992257 + ... + 215992383.

It is an arithmetic number, because the mean of its divisors is an integer number (235872000).

Almost surely, 2^27431024640 is an apocalyptic number.

27431024640 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 27431024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424000).

27431024640 is an abundant number, since it is smaller than the sum of its proper divisors (63143823360).

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

27431024640 is a wasteful number, since it uses less digits than its factorization.

27431024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 27431024640 in words is "twenty-seven billion, four hundred thirty-one million, twenty-four thousand, six hundred forty".