1484678664 has 192 divisors, whose sum is σ = 4791571200. Its totient is φ = 406328832.

The previous prime is 1484678651. The next prime is 1484678669. The reversal of 1484678664 is 4668764841.

1484678664 is a `hidden beast` number, since 1 + 48 + 467 + 86 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1484678664.

It is not an unprimeable number, because it can be changed into a prime (1484678669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2294389 + ... + 2295035.

It is an arithmetic number, because the mean of its divisors is an integer number (24956100).

Almost surely, 2^1484678664 is an apocalyptic number.

1484678664 is a gapful number since it is divisible by the number (14) 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 1484678664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395785600).

1484678664 is an abundant number, since it is smaller than the sum of its proper divisors (3306892536).

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

1484678664 is a wasteful number, since it uses less digits than its factorization.

1484678664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 1484678664 is about 38531.5281814776. The cubic root of 1484678664 is about 1140.8034410105.

The spelling of 1484678664 in words is "one billion, four hundred eighty-four million, six hundred seventy-eight thousand, six hundred sixty-four".