4672427760 has 640 divisors, whose sum is σ = 21618616320. Its totient is φ = 895795200.

The previous prime is 4672427741. The next prime is 4672427777. The reversal of 4672427760 is 677242764.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 2161080 + ... + 2163240.

It is an arithmetic number, because the mean of its divisors is an integer number (33779088).

Almost surely, 2^4672427760 is an apocalyptic number.

4672427760 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 4672427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10809308160).

4672427760 is an abundant number, since it is smaller than the sum of its proper divisors (16946188560).

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

4672427760 is a wasteful number, since it uses less digits than its factorization.

4672427760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 4672427760 is about 68355.1589859902. The cubic root of 4672427760 is about 1671.7866973760.

The spelling of 4672427760 in words is "four billion, six hundred seventy-two million, four hundred twenty-seven thousand, seven hundred sixty".