27640220400 has 540 divisors, whose sum is σ = 104855148216. Its totient is φ = 6739200000.

The previous prime is 27640220393. The next prime is 27640220431. The reversal of 27640220400 is 402204672.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 110120275 + ... + 110120525.

Almost surely, 2^27640220400 is an apocalyptic number.

27640220400 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 27640220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52427574108).

27640220400 is an abundant number, since it is smaller than the sum of its proper divisors (77214927816).

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

27640220400 is a wasteful number, since it uses less digits than its factorization.

27640220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 455 counting only the distinct ones).

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

The spelling of 27640220400 in words is "twenty-seven billion, six hundred forty million, two hundred twenty thousand, four hundred".