198964563840 has 1280 divisors, whose sum is σ = 853932119040. Its totient is φ = 43197235200.

The previous prime is 198964563803. The next prime is 198964563851. The reversal of 198964563840 is 48365469891.

198964563840 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 64 + 563 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 639757285 + ... + 639757595.

It is an arithmetic number, because the mean of its divisors is an integer number (667134468).

Almost surely, 2^198964563840 is an apocalyptic number.

198964563840 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 198964563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426966059520).

198964563840 is an abundant number, since it is smaller than the sum of its proper divisors (654967555200).

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

198964563840 is a wasteful number, since it uses less digits than its factorization.

198964563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 198964563840 in words is "one hundred ninety-eight billion, nine hundred sixty-four million, five hundred sixty-three thousand, eight hundred forty".