198990763776 has 432 divisors, whose sum is σ = 701970167808. Its totient is φ = 55016755200.

The previous prime is 198990763771. The next prime is 198990763819. The reversal of 198990763776 is 677367099891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198990763771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13491766 + ... + 13506506.

It is an arithmetic number, because the mean of its divisors is an integer number (1624930944).

Almost surely, 2^198990763776 is an apocalyptic number.

198990763776 is a gapful number since it is divisible by the number (16) 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 198990763776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350985083904).

198990763776 is an abundant number, since it is smaller than the sum of its proper divisors (502979404032).

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

198990763776 is an equidigital number, since it uses as much as digits as its factorization.

198990763776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14810 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 216040608, while the sum is 72.

The spelling of 198990763776 in words is "one hundred ninety-eight billion, nine hundred ninety million, seven hundred sixty-three thousand, seven hundred seventy-six".