1979777479680 has 3520 divisors, whose sum is σ = 10066633758720. Its totient is φ = 358318080000.

The previous prime is 1979777479609. The next prime is 1979777479703. The reversal of 1979777479680 is 869747779791.

1979777479680 is a `hidden beast` number, since 1 + 9 + 79 + 7 + 77 + 479 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 1979777479680.

It is a congruent number.

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, 7887559555 + ... + 7887559805.

It is an arithmetic number, because the mean of its divisors is an integer number (2859839136).

Almost surely, 2^{1979777479680} is an apocalyptic number.

1979777479680 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 1979777479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033316879360).

1979777479680 is an abundant number, since it is smaller than the sum of its proper divisors (8086856279040).

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

1979777479680 is a wasteful number, since it uses less digits than its factorization.

1979777479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2352442176, while the sum is 81.

It can be divided in two parts, 19797 and 77479680, that added together give a palindrome (77499477).

The spelling of 1979777479680 in words is "one trillion, nine hundred seventy-nine billion, seven hundred seventy-seven million, four hundred seventy-nine thousand, six hundred eighty".