4629346560 has 576 divisors, whose sum is σ = 17660160000. Its totient is φ = 1145733120.

The previous prime is 4629346549. The next prime is 4629346607. The reversal of 4629346560 is 656439264.

4629346560 is a `hidden beast` number, since 46 + 2 + 9 + 3 + 46 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31069366 + ... + 31069514.

It is an arithmetic number, because the mean of its divisors is an integer number (30660000).

Almost surely, 2^4629346560 is an apocalyptic number.

4629346560 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 4629346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080000).

4629346560 is an abundant number, since it is smaller than the sum of its proper divisors (13030813440).

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

4629346560 is a wasteful number, since it uses less digits than its factorization.

4629346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 4629346560 is about 68039.3015837170. The cubic root of 4629346560 is about 1666.6326976188.

The spelling of 4629346560 in words is "four billion, six hundred twenty-nine million, three hundred forty-six thousand, five hundred sixty".