27731516064 has 96 divisors (see below), whose sum is σ = 84604746240. Its totient is φ = 7788986112.

The previous prime is 27731516009. The next prime is 27731516077. The reversal of 27731516064 is 46061513772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310074 + ... + 389369.

It is an arithmetic number, because the mean of its divisors is an integer number (881299440).

Almost surely, 2^27731516064 is an apocalyptic number.

27731516064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27731516064 is an abundant number, since it is smaller than the sum of its proper divisors (56873230176).

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

27731516064 is a wasteful number, since it uses less digits than its factorization.

27731516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699522 (or 699514 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 27731516064 in words is "twenty-seven billion, seven hundred thirty-one million, five hundred sixteen thousand, sixty-four".