27465918480 has 640 divisors, whose sum is σ = 127031869440. Its totient is φ = 5267773440.

The previous prime is 27465918461. The next prime is 27465918511. The reversal of 27465918480 is 8481956472.

It is a happy number.

27465918480 is a `hidden beast` number, since 2 + 7 + 4 + 6 + 591 + 8 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2155809 + ... + 2168511.

It is an arithmetic number, because the mean of its divisors is an integer number (198487296).

Almost surely, 2^27465918480 is an apocalyptic number.

27465918480 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 27465918480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63515934720).

27465918480 is an abundant number, since it is smaller than the sum of its proper divisors (99565950960).

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

27465918480 is a wasteful number, since it uses less digits than its factorization.

27465918480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12756 (or 12744 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 27465918480 in words is "twenty-seven billion, four hundred sixty-five million, nine hundred eighteen thousand, four hundred eighty".