198437769785640 has 2048 divisors, whose sum is σ = 790260671692800. Its totient is φ = 38683913748480.

The previous prime is 198437769785639. The next prime is 198437769785641. The reversal of 198437769785640 is 46587967734891.

It is an interprime number because it is at equal distance from previous prime (198437769785639) and next prime (198437769785641).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (198437769785641) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 211779903252 + ... + 211779904188.

It is an arithmetic number, because the mean of its divisors is an integer number (385869468600).

Almost surely, 2^{198437769785640} is an apocalyptic number.

198437769785640 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 198437769785640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395130335846400).

198437769785640 is an abundant number, since it is smaller than the sum of its proper divisors (591822901907160).

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

198437769785640 is a wasteful number, since it uses less digits than its factorization.

198437769785640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 15362887680, while the sum is 84.

The spelling of 198437769785640 in words is "one hundred ninety-eight trillion, four hundred thirty-seven billion, seven hundred sixty-nine million, seven hundred eighty-five thousand, six hundred forty".