4336874640 has 240 divisors, whose sum is σ = 17521795200. Its totient is φ = 939091968.

The previous prime is 4336874623. The next prime is 4336874657. The reversal of 4336874640 is 464786334.

It is an interprime number because it is at equal distance from previous prime (4336874623) and next prime (4336874657).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73116 + ... + 118404.

It is an arithmetic number, because the mean of its divisors is an integer number (73007480).

Almost surely, 2^4336874640 is an apocalyptic number.

4336874640 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 4336874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8760897600).

4336874640 is an abundant number, since it is smaller than the sum of its proper divisors (13184920560).

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

4336874640 is a wasteful number, since it uses less digits than its factorization.

4336874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45334 (or 45325 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 4336874640 is about 65854.9515222660. The cubic root of 4336874640 is about 1630.7684083254.

The spelling of 4336874640 in words is "four billion, three hundred thirty-six million, eight hundred seventy-four thousand, six hundred forty".