4786680480 has 96 divisors (see below), whose sum is σ = 15965014464. Its totient is φ = 1201360896.

The previous prime is 4786680449. The next prime is 4786680487. The reversal of 4786680480 is 840866874.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4786680480² = 45824620035226060800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4786680487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285142 + ... + 301461.

It is an arithmetic number, because the mean of its divisors is an integer number (166302234).

Almost surely, 2^4786680480 is an apocalyptic number.

4786680480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4786680480 is an abundant number, since it is smaller than the sum of its proper divisors (11178333984).

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

4786680480 is a wasteful number, since it uses less digits than its factorization.

4786680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586638 (or 586630 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 4786680480 is about 69185.8401697920. The cubic root of 4786680480 is about 1685.3035909524.

The spelling of 4786680480 in words is "four billion, seven hundred eighty-six million, six hundred eighty thousand, four hundred eighty".