4198297680 has 120 divisors (see below), whose sum is σ = 14124495528. Its totient is φ = 1117544448.

The previous prime is 4198297657. The next prime is 4198297693. The reversal of 4198297680 is 867928914.

4198297680 is a `hidden beast` number, since 419 + 82 + 9 + 76 + 80 = 666.

4198297680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 606932496 + 3591365184 = 24636^2 + 59928^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422044 + ... + 431876.

Almost surely, 2^4198297680 is an apocalyptic number.

4198297680 is a gapful number since it is divisible by the number (40) 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 4198297680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062247764).

4198297680 is an abundant number, since it is smaller than the sum of its proper divisors (9926197848).

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

4198297680 is a wasteful number, since it uses less digits than its factorization.

4198297680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10445 (or 10436 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 4198297680 is about 64794.2719690560. The cubic root of 4198297680 is about 1613.2106346744.

The spelling of 4198297680 in words is "four billion, one hundred ninety-eight million, two hundred ninety-seven thousand, six hundred eighty".