484755878880 has 2592 divisors, whose sum is σ = 2307303913824. Its totient is φ = 95187197952.

The previous prime is 484755878807. The next prime is 484755878881. The reversal of 484755878880 is 88878557484.

484755878880 is a `hidden beast` number, since 4 + 8 + 475 + 5 + 8 + 78 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 = 484755878799 and 484755878808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484755878881) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13101510222 + ... + 13101510258.

It is an arithmetic number, because the mean of its divisors is an integer number (890163547).

Almost surely, 2^484755878880 is an apocalyptic number.

484755878880 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 484755878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153651956912).

484755878880 is an abundant number, since it is smaller than the sum of its proper divisors (1822548034944).

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

484755878880 is a wasteful number, since it uses less digits than its factorization.

484755878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 642252800, while the sum is 72.

The spelling of 484755878880 in words is "four hundred eighty-four billion, seven hundred fifty-five million, eight hundred seventy-eight thousand, eight hundred eighty".