4667704560 has 240 divisors, whose sum is σ = 15996636864. Its totient is φ = 1219534848.

The previous prime is 4667704543. The next prime is 4667704577. The reversal of 4667704560 is 654077664.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4667704543) and next prime (4667704577).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8379802 + ... + 8380358.

Almost surely, 2^4667704560 is an apocalyptic number.

4667704560 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 4667704560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998318432).

4667704560 is an abundant number, since it is smaller than the sum of its proper divisors (11328932304).

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

4667704560 is a wasteful number, since it uses less digits than its factorization.

4667704560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4667704560 is about 68320.6012854102. The cubic root of 4667704560 is about 1671.2231898169.

The spelling of 4667704560 in words is "four billion, six hundred sixty-seven million, seven hundred four thousand, five hundred sixty".