4717854960 has 640 divisors, whose sum is σ = 19402758144. Its totient is φ = 920125440.

The previous prime is 4717854959. The next prime is 4717854961. The reversal of 4717854960 is 694587174.

It is an interprime number because it is at equal distance from previous prime (4717854959) and next prime (4717854961).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4717854961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36014095 + ... + 36014225.

Almost surely, 2^4717854960 is an apocalyptic number.

4717854960 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 4717854960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9701379072).

4717854960 is an abundant number, since it is smaller than the sum of its proper divisors (14684903184).

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

4717854960 is a wasteful number, since it uses less digits than its factorization.

4717854960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The square root of 4717854960 is about 68686.6432430644. The cubic root of 4717854960 is about 1677.1871581368.

The spelling of 4717854960 in words is "four billion, seven hundred seventeen million, eight hundred fifty-four thousand, nine hundred sixty".