4616976672 has 432 divisors, whose sum is σ = 17128552896. Its totient is φ = 1197504000.

The previous prime is 4616976641. The next prime is 4616976673. The reversal of 4616976672 is 2766796164.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4616976673) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6585922 + ... + 6586622.

It is an arithmetic number, because the mean of its divisors is an integer number (39649428).

Almost surely, 2^4616976672 is an apocalyptic number.

4616976672 is a gapful number since it is divisible by the number (42) 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 4616976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564276448).

4616976672 is an abundant number, since it is smaller than the sum of its proper divisors (12511576224).

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

4616976672 is a wasteful number, since it uses less digits than its factorization.

4616976672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 724 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 4616976672 is about 67948.3382578264. The cubic root of 4616976672 is about 1665.1469264060.

The spelling of 4616976672 in words is "four billion, six hundred sixteen million, nine hundred seventy-six thousand, six hundred seventy-two".