4642249104 has 160 divisors (see below), whose sum is σ = 13740192000. Its totient is φ = 1499544576.

The previous prime is 4642249063. The next prime is 4642249121. The reversal of 4642249104 is 4019422464.

It is a happy number.

4642249104 is a `hidden beast` number, since 4 + 642 + 2 + 4 + 9 + 1 + 0 + 4 = 666.

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

It is an unprimeable number.

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, 5737852 + ... + 5738660.

It is an arithmetic number, because the mean of its divisors is an integer number (85876200).

Almost surely, 2^4642249104 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 4642249104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870096000).

4642249104 is an abundant number, since it is smaller than the sum of its proper divisors (9097942896).

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

4642249104 is a wasteful number, since it uses less digits than its factorization.

4642249104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4642249104 is about 68134.0524554352. The cubic root of 4642249104 is about 1668.1796297412.

The spelling of 4642249104 in words is "four billion, six hundred forty-two million, two hundred forty-nine thousand, one hundred four".