1979780677760 has 128 divisors (see below), whose sum is σ = 5033377843200. Its totient is φ = 742497878016.

The previous prime is 1979780677739. The next prime is 1979780677837. The reversal of 1979780677760 is 677760879791.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340289 + ... + 2018751.

It is an arithmetic number, because the mean of its divisors is an integer number (39323264400).

Almost surely, 2^{1979780677760} is an apocalyptic number.

1979780677760 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 1979780677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516688921600).

1979780677760 is an abundant number, since it is smaller than the sum of its proper divisors (3053597165440).

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

1979780677760 is a wasteful number, since it uses less digits than its factorization.

1979780677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678598 (or 1678586 counting only the distinct ones).

The product of its (nonzero) digits is 392073696, while the sum is 74.

The spelling of 1979780677760 in words is "one trillion, nine hundred seventy-nine billion, seven hundred eighty million, six hundred seventy-seven thousand, seven hundred sixty".