4167646560 has 1152 divisors, whose sum is σ = 19691320320. Its totient is φ = 802897920.

The previous prime is 4167646517. The next prime is 4167646601. The reversal of 4167646560 is 656467614.

4167646560 is a `hidden beast` number, since 4 + 16 + 76 + 4 + 6 + 560 = 666.

4167646560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 62203647 + ... + 62203713.

It is an arithmetic number, because the mean of its divisors is an integer number (17093160).

Almost surely, 2^4167646560 is an apocalyptic number.

4167646560 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 4167646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845660160).

4167646560 is an abundant number, since it is smaller than the sum of its proper divisors (15523673760).

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

4167646560 is a wasteful number, since it uses less digits than its factorization.

4167646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4167646560 is about 64557.3122117084. The cubic root of 4167646560 is about 1609.2751080036.

It can be divided in two parts, 416764 and 6560, that added together give a palindrome (423324).

The spelling of 4167646560 in words is "four billion, one hundred sixty-seven million, six hundred forty-six thousand, five hundred sixty".