1377571680 has 144 divisors (see below), whose sum is σ = 4730609520. Its totient is φ = 365036544.

The previous prime is 1377571639. The next prime is 1377571697. The reversal of 1377571680 is 861757731.

1377571680 is a `hidden beast` number, since 1 + 3 + 77 + 571 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231786 + ... + 237654.

It is an arithmetic number, because the mean of its divisors is an integer number (32851455).

Almost surely, 2^1377571680 is an apocalyptic number.

1377571680 is a gapful number since it is divisible by the number (10) 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 1377571680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365304760).

1377571680 is an abundant number, since it is smaller than the sum of its proper divisors (3353037840).

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

1377571680 is a wasteful number, since it uses less digits than its factorization.

1377571680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 1377571680 is about 37115.6527626822. The cubic root of 1377571680 is about 1112.6828699092.

The spelling of 1377571680 in words is "one billion, three hundred seventy-seven million, five hundred seventy-one thousand, six hundred eighty".