1377638064 has 160 divisors (see below), whose sum is σ = 4335436800. Its totient is φ = 415376640.

The previous prime is 1377638033. The next prime is 1377638071. The reversal of 1377638064 is 4608367731.

1377638064 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 638 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135122 + ... + 1136334.

It is an arithmetic number, because the mean of its divisors is an integer number (27096480).

Almost surely, 2^1377638064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377638064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167718400).

1377638064 is an abundant number, since it is smaller than the sum of its proper divisors (2957798736).

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

1377638064 is a wasteful number, since it uses less digits than its factorization.

1377638064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1377638064 is about 37116.5470376758. The cubic root of 1377638064 is about 1112.7007427005.

The spelling of 1377638064 in words is "one billion, three hundred seventy-seven million, six hundred thirty-eight thousand, sixty-four".