1977964321080 has 512 divisors, whose sum is σ = 7054752153600. Its totient is φ = 438309273600.

The previous prime is 1977964321057. The next prime is 1977964321093. The reversal of 1977964321080 is 801234697791.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1977964321080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 274446837 + ... + 274454043.

It is an arithmetic number, because the mean of its divisors is an integer number (13778812800).

Almost surely, 2^{1977964321080} is an apocalyptic number.

1977964321080 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 1977964321080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527376076800).

1977964321080 is an abundant number, since it is smaller than the sum of its proper divisors (5076787832520).

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

1977964321080 is a wasteful number, since it uses less digits than its factorization.

1977964321080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 1977964321080 in words is "one trillion, nine hundred seventy-seven billion, nine hundred sixty-four million, three hundred twenty-one thousand, eighty".