1377359766000 has 240 divisors, whose sum is σ = 4876562627040. Its totient is φ = 362264140800.

The previous prime is 1377359765981. The next prime is 1377359766001. The reversal of 1377359766000 is 6679537731.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377359766001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789891 + ... + 1838109.

It is an arithmetic number, because the mean of its divisors is an integer number (20319010946).

Almost surely, 2^{1377359766000} is an apocalyptic number.

1377359766000 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 1377359766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438281313520).

1377359766000 is an abundant number, since it is smaller than the sum of its proper divisors (3499202861040).

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

1377359766000 is a wasteful number, since it uses less digits than its factorization.

1377359766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048321 (or 1048302 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The spelling of 1377359766000 in words is "one trillion, three hundred seventy-seven billion, three hundred fifty-nine million, seven hundred sixty-six thousand".