1892769378768 has 160 divisors (see below), whose sum is σ = 5670828948480. Its totient is φ = 603314490240.

The previous prime is 1892769378761. The next prime is 1892769378769. The reversal of 1892769378768 is 8678739672981.

1892769378768 is a `hidden beast` number, since 189 + 2 + 7 + 6 + 9 + 378 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1892769378761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36170703 + ... + 36222993.

It is an arithmetic number, because the mean of its divisors is an integer number (35442680928).

Almost surely, 2^{1892769378768} is an apocalyptic number.

1892769378768 is a gapful number since it is divisible by the number (18) 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 1892769378768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835414474240).

1892769378768 is an abundant number, since it is smaller than the sum of its proper divisors (3778059569712).

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

1892769378768 is a wasteful number, since it uses less digits than its factorization.

1892769378768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55974 (or 55962 counting only the distinct ones).

The product of its digits is 3072577536, while the sum is 81.

The spelling of 1892769378768 in words is "one trillion, eight hundred ninety-two billion, seven hundred sixty-nine million, three hundred seventy-eight thousand, seven hundred sixty-eight".