1377706397760 has 2240 divisors, whose sum is σ = 6576938311680. Its totient is φ = 265095659520.

The previous prime is 1377706397759. The next prime is 1377706397777. The reversal of 1377706397760 is 677936077731.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1782284734 + ... + 1782285506.

Almost surely, 2^{1377706397760} is an apocalyptic number.

1377706397760 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 1377706397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288469155840).

1377706397760 is an abundant number, since it is smaller than the sum of its proper divisors (5199231913920).

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

1377706397760 is a wasteful number, since it uses less digits than its factorization.

1377706397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 49009212, while the sum is 63.

The spelling of 1377706397760 in words is "one trillion, three hundred seventy-seven billion, seven hundred six million, three hundred ninety-seven thousand, seven hundred sixty".