27249467040 has 192 divisors, whose sum is σ = 95564085120. Its totient is φ = 7251978240.

The previous prime is 27249467039. The next prime is 27249467041. The reversal of 27249467040 is 4076494272.

It is an interprime number because it is at equal distance from previous prime (27249467039) and next prime (27249467041).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27249467041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2244667 + ... + 2256773.

It is an arithmetic number, because the mean of its divisors is an integer number (497729610).

Almost surely, 2^27249467040 is an apocalyptic number.

27249467040 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 27249467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47782042560).

27249467040 is an abundant number, since it is smaller than the sum of its proper divisors (68314618080).

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

27249467040 is a wasteful number, since it uses less digits than its factorization.

27249467040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12652 (or 12638 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 27249467040 in words is "twenty-seven billion, two hundred forty-nine million, four hundred sixty-seven thousand, forty".