27064346400 has 1152 divisors, whose sum is σ = 123367104000. Its totient is φ = 5689958400.

The previous prime is 27064346359. The next prime is 27064346479. The reversal of 27064346400 is 464346072.

27064346400 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 4 + 3 + 4 + 640 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 96314260 + ... + 96314540.

It is an arithmetic number, because the mean of its divisors is an integer number (107089500).

Almost surely, 2^27064346400 is an apocalyptic number.

27064346400 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 27064346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61683552000).

27064346400 is an abundant number, since it is smaller than the sum of its proper divisors (96302757600).

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

27064346400 is a wasteful number, since it uses less digits than its factorization.

27064346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 27064346400 in words is "twenty-seven billion, sixty-four million, three hundred forty-six thousand, four hundred".