4672386642 has 64 divisors (see below), whose sum is σ = 11742511104. Its totient is φ = 1204035840.

The previous prime is 4672386613. The next prime is 4672386659. The reversal of 4672386642 is 2466832764.

It is a junction number, because it is equal to n+sod(n) for n = 4672386591 and 4672386600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18858 + ... + 98490.

It is an arithmetic number, because the mean of its divisors is an integer number (183476736).

Almost surely, 2^4672386642 is an apocalyptic number.

4672386642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672386642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871255552).

4672386642 is an abundant number, since it is smaller than the sum of its proper divisors (7070124462).

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

4672386642 is a wasteful number, since it uses less digits than its factorization.

4672386642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79783.

The product of its digits is 2322432, while the sum is 48.

The square root of 4672386642 is about 68354.8582179789. The cubic root of 4672386642 is about 1671.7817933782.

The spelling of 4672386642 in words is "four billion, six hundred seventy-two million, three hundred eighty-six thousand, six hundred forty-two".