1377965769336 has 384 divisors, whose sum is σ = 4137201868800. Its totient is φ = 411741066240.

The previous prime is 1377965769311. The next prime is 1377965769361. The reversal of 1377965769336 is 6339675697731.

1377965769336 is a `hidden beast` number, since 1 + 377 + 96 + 57 + 6 + 93 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (1377965769311) and next prime (1377965769361).

It is a super-2 number, since 2×1377965769336² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2226115635 + ... + 2226116253.

It is an arithmetic number, because the mean of its divisors is an integer number (10773963200).

Almost surely, 2^{1377965769336} 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 1377965769336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068600934400).

1377965769336 is an abundant number, since it is smaller than the sum of its proper divisors (2759236099464).

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

1377965769336 is a wasteful number, since it uses less digits than its factorization.

1377965769336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1132 counting only the distinct ones).

The product of its digits is 810152280, while the sum is 72.

The spelling of 1377965769336 in words is "one trillion, three hundred seventy-seven billion, nine hundred sixty-five million, seven hundred sixty-nine thousand, three hundred thirty-six".