27073424640 has 288 divisors, whose sum is σ = 88300800000. Its totient is φ = 7067934720.

The previous prime is 27073424639. The next prime is 27073424659. The reversal of 27073424640 is 4642437072.

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, 54255111 + ... + 54255609.

It is an arithmetic number, because the mean of its divisors is an integer number (306600000).

Almost surely, 2^27073424640 is an apocalyptic number.

27073424640 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 27073424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44150400000).

27073424640 is an abundant number, since it is smaller than the sum of its proper divisors (61227375360).

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

27073424640 is a wasteful number, since it uses less digits than its factorization.

27073424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The spelling of 27073424640 in words is "twenty-seven billion, seventy-three million, four hundred twenty-four thousand, six hundred forty".