4098701568 has 216 divisors, whose sum is σ = 12334738752. Its totient is φ = 1205428224.

The previous prime is 4098701567. The next prime is 4098701627. The reversal of 4098701568 is 8651078904.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4098701567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2984530 + ... + 2985902.

It is an arithmetic number, because the mean of its divisors is an integer number (57105272).

Almost surely, 2^4098701568 is an apocalyptic number.

4098701568 is a gapful number since it is divisible by the number (48) 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 4098701568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167369376).

4098701568 is an abundant number, since it is smaller than the sum of its proper divisors (8236037184).

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

4098701568 is a wasteful number, since it uses less digits than its factorization.

4098701568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 4098701568 is about 64021.1025209657. The cubic root of 4098701568 is about 1600.3516893576.

The spelling of 4098701568 in words is "four billion, ninety-eight million, seven hundred one thousand, five hundred sixty-eight".