4612966560 has 144 divisors (see below), whose sum is σ = 15963816960. Its totient is φ = 1212771840.

The previous prime is 4612966493. The next prime is 4612966571. The reversal of 4612966560 is 656692164.

4612966560 is a `hidden beast` number, since 4 + 6 + 1 + 29 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 79681 + ... + 124799.

It is an arithmetic number, because the mean of its divisors is an integer number (110859840).

Almost surely, 2^4612966560 is an apocalyptic number.

4612966560 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 4612966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7981908480).

4612966560 is an abundant number, since it is smaller than the sum of its proper divisors (11350850400).

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

4612966560 is a wasteful number, since it uses less digits than its factorization.

4612966560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45211 (or 45200 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4612966560 is about 67918.8233113619. The cubic root of 4612966560 is about 1664.6646945385.

It can be divided in two parts, 461296 and 6560, that added together give a square (467856 = 684²).

The spelling of 4612966560 in words is "four billion, six hundred twelve million, nine hundred sixty-six thousand, five hundred sixty".