4576674960 has 600 divisors, whose sum is σ = 18857777400. Its totient is φ = 1021870080.

The previous prime is 4576674953. The next prime is 4576674967. The reversal of 4576674960 is 694766754.

4576674960 is a `hidden beast` number, since 4 + 576 + 6 + 7 + 4 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4576674953) and next prime (4576674967).

It can be written as a sum of positive squares in 4 ways, for example, as 150700176 + 4425974784 = 12276^2 + 66528^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4576674897 and 4576674906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4576674967) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10192816 + ... + 10193264.

It is an arithmetic number, because the mean of its divisors is an integer number (31429629).

Almost surely, 2^4576674960 is an apocalyptic number.

4576674960 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 4576674960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9428888700).

4576674960 is an abundant number, since it is smaller than the sum of its proper divisors (14281102440).

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

4576674960 is a wasteful number, since it uses less digits than its factorization.

4576674960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 4576674960 is about 67651.1268198838. The cubic root of 4576674960 is about 1660.2877229048.

The spelling of 4576674960 in words is "four billion, five hundred seventy-six million, six hundred seventy-four thousand, nine hundred sixty".