275490008064 has 176 divisors, whose sum is σ = 863861839200. Its totient is φ = 86428090368.

The previous prime is 275490008063. The next prime is 275490008077. The reversal of 275490008064 is 460800094572.

It is a happy number.

275490008064 is a `hidden beast` number, since 27 + 5 + 490 + 0 + 0 + 80 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (275490008063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176952 + ... + 763080.

Almost surely, 2^275490008064 is an apocalyptic number.

275490008064 is a gapful number since it is divisible by the number (24) 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 275490008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431930919600).

275490008064 is an abundant number, since it is smaller than the sum of its proper divisors (588371831136).

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

275490008064 is a wasteful number, since it uses less digits than its factorization.

275490008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586175 (or 586151 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 275490008064 in words is "two hundred seventy-five billion, four hundred ninety million, eight thousand, sixty-four".