27472705920 has 768 divisors, whose sum is σ = 108883906560. Its totient is φ = 6322176000.

The previous prime is 27472705919. The next prime is 27472705943. The reversal of 27472705920 is 2950727472.

27472705920 is a `hidden beast` number, since 27 + 472 + 70 + 5 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139455262 + ... + 139455458.

It is an arithmetic number, because the mean of its divisors is an integer number (141775920).

Almost surely, 2^27472705920 is an apocalyptic number.

27472705920 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 27472705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54441953280).

27472705920 is an abundant number, since it is smaller than the sum of its proper divisors (81411200640).

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

27472705920 is a wasteful number, since it uses less digits than its factorization.

27472705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 27472705920 in words is "twenty-seven billion, four hundred seventy-two million, seven hundred five thousand, nine hundred twenty".