27400335480 has 1024 divisors, whose sum is σ = 119232000000. Its totient is φ = 5559902208.

The previous prime is 27400335421. The next prime is 27400335493. The reversal of 27400335480 is 8453300472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 119652006 + ... + 119652234.

It is an arithmetic number, because the mean of its divisors is an integer number (116437500).

Almost surely, 2^27400335480 is an apocalyptic number.

27400335480 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 27400335480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59616000000).

27400335480 is an abundant number, since it is smaller than the sum of its proper divisors (91831664520).

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

27400335480 is a wasteful number, since it uses less digits than its factorization.

27400335480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 27400335480 in words is "twenty-seven billion, four hundred million, three hundred thirty-five thousand, four hundred eighty".