4610374560 has 576 divisors, whose sum is σ = 18228188160. Its totient is φ = 1050624000.

The previous prime is 4610374537. The next prime is 4610374589. The reversal of 4610374560 is 654730164.

It is a happy number.

4610374560 is a `hidden beast` number, since 4 + 61 + 0 + 37 + 4 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20132526 + ... + 20132754.

It is an arithmetic number, because the mean of its divisors is an integer number (31646160).

Almost surely, 2^4610374560 is an apocalyptic number.

4610374560 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 4610374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114094080).

4610374560 is an abundant number, since it is smaller than the sum of its proper divisors (13617813600).

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

4610374560 is a wasteful number, since it uses less digits than its factorization.

4610374560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4610374560 is about 67899.7390274808. The cubic root of 4610374560 is about 1664.3528475423.

The spelling of 4610374560 in words is "four billion, six hundred ten million, three hundred seventy-four thousand, five hundred sixty".