27929435040 has 480 divisors, whose sum is σ = 107306836560. Its totient is φ = 6800080896.

The previous prime is 27929435029. The next prime is 27929435047. The reversal of 27929435040 is 4053492972.

27929435040 is a `hidden beast` number, since 2 + 7 + 9 + 294 + 350 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2850278544 + 25079156496 = 53388^2 + 158364^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 (27929435047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16341706 + ... + 16343414.

Almost surely, 2^27929435040 is an apocalyptic number.

27929435040 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 27929435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53653418280).

27929435040 is an abundant number, since it is smaller than the sum of its proper divisors (79377401520).

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

27929435040 is a wasteful number, since it uses less digits than its factorization.

27929435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 27929435040 in words is "twenty-seven billion, nine hundred twenty-nine million, four hundred thirty-five thousand, forty".