27406226400 has 576 divisors, whose sum is σ = 106013214720. Its totient is φ = 6019891200.

The previous prime is 27406226369. The next prime is 27406226413. The reversal of 27406226400 is 462260472.

It is a super-2 number, since 2×27406226400² (a number of 22 digits) contains 22 as substring.

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, 48165316 + ... + 48165884.

It is an arithmetic number, because the mean of its divisors is an integer number (184050720).

Almost surely, 2^27406226400 is an apocalyptic number.

27406226400 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 27406226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53006607360).

27406226400 is an abundant number, since it is smaller than the sum of its proper divisors (78606988320).

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

27406226400 is a wasteful number, since it uses less digits than its factorization.

27406226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 27406226400 its reverse (462260472), we get a palindrome (27868486872).

The spelling of 27406226400 in words is "twenty-seven billion, four hundred six million, two hundred twenty-six thousand, four hundred".