1306077067776 has 480 divisors, whose sum is σ = 3973337565120. Its totient is φ = 378930659328.

The previous prime is 1306077067747. The next prime is 1306077067819. The reversal of 1306077067776 is 6777607706031.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2948255011 + ... + 2948255453.

It is an arithmetic number, because the mean of its divisors is an integer number (8277786594).

Almost surely, 2^{1306077067776} is an apocalyptic number.

1306077067776 is a gapful number since it is divisible by the number (16) 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 1306077067776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986668782560).

1306077067776 is an abundant number, since it is smaller than the sum of its proper divisors (2667260497344).

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

1306077067776 is a wasteful number, since it uses less digits than its factorization.

1306077067776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 10890936, while the sum is 57.

The spelling of 1306077067776 in words is "one trillion, three hundred six billion, seventy-seven million, sixty-seven thousand, seven hundred seventy-six".