27400464000 has 2048 divisors, whose sum is σ = 134730086400. Its totient is φ = 5308416000.

The previous prime is 27400463989. The next prime is 27400464031. The reversal of 27400464000 is 46400472.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 668303980 + ... + 668304020.

It is an arithmetic number, because the mean of its divisors is an integer number (65786175).

Almost surely, 2^27400464000 is an apocalyptic number.

27400464000 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 27400464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67365043200).

27400464000 is an abundant number, since it is smaller than the sum of its proper divisors (107329622400).

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

27400464000 is a wasteful number, since it uses less digits than its factorization.

27400464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 27400464000 its reverse (46400472), we get a palindrome (27446864472).

The spelling of 27400464000 in words is "twenty-seven billion, four hundred million, four hundred sixty-four thousand".