4667323680 has 240 divisors, whose sum is σ = 16589172600. Its totient is φ = 1235755008.

The previous prime is 4667323657. The next prime is 4667323697. The reversal of 4667323680 is 863237664.

It can be written as a sum of positive squares in 4 ways, for example, as 4055651856 + 611671824 = 63684^2 + 24732^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 1929832 + ... + 1932248.

Almost surely, 2^4667323680 is an apocalyptic number.

4667323680 is a gapful number since it is divisible by the number (40) 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 4667323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294586300).

4667323680 is an abundant number, since it is smaller than the sum of its proper divisors (11921848920).

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

4667323680 is a wasteful number, since it uses less digits than its factorization.

4667323680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4667323680 is about 68317.8137823511. The cubic root of 4667323680 is about 1671.1777318697.

The spelling of 4667323680 in words is "four billion, six hundred sixty-seven million, three hundred twenty-three thousand, six hundred eighty".