4198932864 has 256 divisors, whose sum is σ = 14548953600. Its totient is φ = 1167022080.

The previous prime is 4198932863. The next prime is 4198932883. The reversal of 4198932864 is 4682398914.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4198932864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198932863) 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 31 ways as a sum of consecutive naturals, for example, 892759 + ... + 897449.

It is an arithmetic number, because the mean of its divisors is an integer number (56831850).

Almost surely, 2^4198932864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274476800).

4198932864 is an abundant number, since it is smaller than the sum of its proper divisors (10350020736).

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

4198932864 is a wasteful number, since it uses less digits than its factorization.

4198932864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4740 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 4198932864 is about 64799.1733280603. The cubic root of 4198932864 is about 1613.2919877997.

The spelling of 4198932864 in words is "four billion, one hundred ninety-eight million, nine hundred thirty-two thousand, eight hundred sixty-four".