484678937664 has 336 divisors, whose sum is σ = 1476576869040. Its totient is φ = 151822540800.

The previous prime is 484678937653. The next prime is 484678937683. The reversal of 484678937664 is 466739876484.

484678937664 is a `hidden beast` number, since 4 + 8 + 467 + 8 + 93 + 76 + 6 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 484583054400 + 95883264 = 696120^2 + 9792^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 484678937592 and 484678937601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151256174 + ... + 1151256594.

It is an arithmetic number, because the mean of its divisors is an integer number (4394574015).

Almost surely, 2^484678937664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484678937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738288434520).

484678937664 is an abundant number, since it is smaller than the sum of its proper divisors (991897931376).

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

484678937664 is an equidigital number, since it uses as much as digits as its factorization.

484678937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 496 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 484678937664 in words is "four hundred eighty-four billion, six hundred seventy-eight million, nine hundred thirty-seven thousand, six hundred sixty-four".