1988979632640 has 5120 divisors, whose sum is σ = 10691315712000. Its totient is φ = 336341237760.

The previous prime is 1988979632539. The next prime is 1988979632677. The reversal of 1988979632640 is 462369798891.

1988979632640 is a `hidden beast` number, since 1 + 98 + 8 + 97 + 96 + 326 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 22348085716 + ... + 22348085804.

It is an arithmetic number, because the mean of its divisors is an integer number (2088147600).

Almost surely, 2^{1988979632640} is an apocalyptic number.

1988979632640 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 1988979632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345657856000).

1988979632640 is an abundant number, since it is smaller than the sum of its proper divisors (8702336079360).

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

1988979632640 is a wasteful number, since it uses less digits than its factorization.

1988979632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 1988979632640 in words is "one trillion, nine hundred eighty-eight billion, nine hundred seventy-nine million, six hundred thirty-two thousand, six hundred forty".