1377564067672 has 64 divisors (see below), whose sum is σ = 2809196470080. Its totient is φ = 629498068992.

The previous prime is 1377564067657. The next prime is 1377564067703. The reversal of 1377564067672 is 2767604657731.

It is a self number, because there is not a number n which added to its sum of digits gives 1377564067672.

It is a congruent number.

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, 70443048 + ... + 70462600.

It is an arithmetic number, because the mean of its divisors is an integer number (43893694845).

Almost surely, 2^{1377564067672} 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 1377564067672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404598235040).

1377564067672 is an abundant number, since it is smaller than the sum of its proper divisors (1431632402408).

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

1377564067672 is a wasteful number, since it uses less digits than its factorization.

1377564067672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26252 (or 26248 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 61.

The spelling of 1377564067672 in words is "one trillion, three hundred seventy-seven billion, five hundred sixty-four million, sixty-seven thousand, six hundred seventy-two".