484505763840 has 1680 divisors, whose sum is σ = 2131668981120. Its totient is φ = 103195607040.

The previous prime is 484505763823. The next prime is 484505763943. The reversal of 484505763840 is 48367505484.

It is a happy number.

484505763840 is a `hidden beast` number, since 4 + 8 + 450 + 57 + 63 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7942717410 + ... + 7942717470.

It is an arithmetic number, because the mean of its divisors is an integer number (1268850584).

Almost surely, 2^484505763840 is an apocalyptic number.

484505763840 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 484505763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065834490560).

484505763840 is an abundant number, since it is smaller than the sum of its proper divisors (1647163217280).

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

484505763840 is an frugal number, since it uses more digits than its factorization.

484505763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 484505763840 in words is "four hundred eighty-four billion, five hundred five million, seven hundred sixty-three thousand, eight hundred forty".