1979408227680 has 576 divisors, whose sum is σ = 7525422858240. Its totient is φ = 485707622400.

The previous prime is 1979408227651. The next prime is 1979408227681. The reversal of 1979408227680 is 867228049791.

1979408227680 is a `hidden beast` number, since 19 + 79 + 408 + 2 + 2 + 76 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1979408227681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241652385 + ... + 241660575.

It is an arithmetic number, because the mean of its divisors is an integer number (13064970240).

Almost surely, 2^{1979408227680} is an apocalyptic number.

1979408227680 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 1979408227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762711429120).

1979408227680 is an abundant number, since it is smaller than the sum of its proper divisors (5546014630560).

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

1979408227680 is a wasteful number, since it uses less digits than its factorization.

1979408227680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1979408227680 in words is "one trillion, nine hundred seventy-nine billion, four hundred eight million, two hundred twenty-seven thousand, six hundred eighty".