4579061760 has 936 divisors, whose sum is σ = 20505677040. Its totient is φ = 966131712.

The previous prime is 4579061737. The next prime is 4579061761. The reversal of 4579061760 is 671609754.

It is a happy number.

4579061760 is a `hidden beast` number, since 4 + 579 + 0 + 6 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4579061761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 352235514 + ... + 352235526.

Almost surely, 2^4579061760 is an apocalyptic number.

4579061760 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 4579061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10252838520).

4579061760 is an abundant number, since it is smaller than the sum of its proper divisors (15926615280).

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

4579061760 is a wasteful number, since it uses less digits than its factorization.

4579061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4579061760 is about 67668.7650249360. The cubic root of 4579061760 is about 1660.5762938353.

The spelling of 4579061760 in words is "four billion, five hundred seventy-nine million, sixty-one thousand, seven hundred sixty".