4918085760 has 128 divisors (see below), whose sum is σ = 17915932800. Its totient is φ = 1124130816.

The previous prime is 4918085749. The next prime is 4918085773. The reversal of 4918085760 is 675808194.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169525 + ... + 196404.

It is an arithmetic number, because the mean of its divisors is an integer number (139968225).

Almost surely, 2^4918085760 is an apocalyptic number.

4918085760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4918085760 is an abundant number, since it is smaller than the sum of its proper divisors (12997847040).

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

4918085760 is a wasteful number, since it uses less digits than its factorization.

4918085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365958 (or 365946 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 4918085760 is about 70129.0650158691. The cubic root of 4918085760 is about 1700.5863905587.

It can be divided in two parts, 49180 and 85760, that added together give a triangular number (134940 = T₅₁₉).

The spelling of 4918085760 in words is "four billion, nine hundred eighteen million, eighty-five thousand, seven hundred sixty".