2627108064 has 72 divisors (see below), whose sum is σ = 8538107760. Its totient is φ = 750601728.

The previous prime is 2627108053. The next prime is 2627108083. The reversal of 2627108064 is 4608017262.

2627108064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 649549 + ... + 653580.

It is an arithmetic number, because the mean of its divisors is an integer number (118584830).

Almost surely, 2^2627108064 is an apocalyptic number.

2627108064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2627108064 is an abundant number, since it is smaller than the sum of its proper divisors (5910999696).

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

2627108064 is a wasteful number, since it uses less digits than its factorization.

2627108064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303152 (or 1303141 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2627108064 is about 51255.3222992501. The cubic root of 2627108064 is about 1379.8312585108.

The spelling of 2627108064 in words is "two billion, six hundred twenty-seven million, one hundred eight thousand, sixty-four".