4652683672 has 192 divisors, whose sum is σ = 11907756000. Its totient is φ = 1682601984.

The previous prime is 4652683669. The next prime is 4652683687. The reversal of 4652683672 is 2763862564.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2807068 + ... + 2808724.

Almost surely, 2^4652683672 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 4652683672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953878000).

4652683672 is an abundant number, since it is smaller than the sum of its proper divisors (7255072328).

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

4652683672 is a wasteful number, since it uses less digits than its factorization.

4652683672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1727 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 49.

The square root of 4652683672 is about 68210.5832844142. The cubic root of 4652683672 is about 1669.4285723491.

The spelling of 4652683672 in words is "four billion, six hundred fifty-two million, six hundred eighty-three thousand, six hundred seventy-two".