4657150080 has 320 divisors, whose sum is σ = 18145702080. Its totient is φ = 1128867840.

The previous prime is 4657150079. The next prime is 4657150159. The reversal of 4657150080 is 800517564.

4657150080 is a `hidden beast` number, since 4 + 6 + 5 + 71 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 566157 + ... + 574323.

It is an arithmetic number, because the mean of its divisors is an integer number (56705319).

Almost surely, 2^4657150080 is an apocalyptic number.

4657150080 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 4657150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072851040).

4657150080 is an abundant number, since it is smaller than the sum of its proper divisors (13488552000).

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

4657150080 is a wasteful number, since it uses less digits than its factorization.

4657150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8209 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 4657150080 is about 68243.3152770291. The cubic root of 4657150080 is about 1669.9625985146.

The spelling of 4657150080 in words is "four billion, six hundred fifty-seven million, one hundred fifty thousand, eighty".