4218640704 has 140 divisors (see below), whose sum is σ = 12909263488. Its totient is φ = 1360800000.

The previous prime is 4218640691. The next prime is 4218640739. The reversal of 4218640704 is 4070468124.

4218640704 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 640 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 147579 + ... + 173829.

Almost surely, 2^4218640704 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 4218640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454631744).

4218640704 is an abundant number, since it is smaller than the sum of its proper divisors (8690622784).

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

4218640704 is a wasteful number, since it uses less digits than its factorization.

4218640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26306 (or 26287 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4218640704 is about 64951.0639173832. The cubic root of 4218640704 is about 1615.8120635608.

The spelling of 4218640704 in words is "four billion, two hundred eighteen million, six hundred forty thousand, seven hundred four".