1980164007648 has 144 divisors (see below), whose sum is σ = 6017033982960. Its totient is φ = 615528419328.

The previous prime is 1980164007629. The next prime is 1980164007649. The reversal of 1980164007648 is 8467004610891.

1980164007648 is a `hidden beast` number, since 198 + 0 + 1 + 6 + 400 + 7 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1980164007594 and 1980164007603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980164007649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321590 + ... + 2388917.

It is an arithmetic number, because the mean of its divisors is an integer number (41784958215).

Almost surely, 2^{1980164007648} is an apocalyptic number.

1980164007648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1980164007648 is an abundant number, since it is smaller than the sum of its proper divisors (4036869975312).

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

1980164007648 is a wasteful number, since it uses less digits than its factorization.

1980164007648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710649 (or 3710638 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1980164007648 in words is "one trillion, nine hundred eighty billion, one hundred sixty-four million, seven thousand, six hundred forty-eight".