484107780009672 has 512 divisors, whose sum is σ = 1715919679488000. Its totient is φ = 123018580638720.

The previous prime is 484107780009661. The next prime is 484107780009731. The reversal of 484107780009672 is 276900087701484.

484107780009672 is a `hidden beast` number, since 4 + 8 + 410 + 77 + 80 + 0 + 0 + 9 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137803263 + ... + 141272625.

It is an arithmetic number, because the mean of its divisors is an integer number (3351405624000).

Almost surely, 2^{484107780009672} is an apocalyptic number.

484107780009672 is a gapful number since it is divisible by the number (42) 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 484107780009672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857959839744000).

484107780009672 is an abundant number, since it is smaller than the sum of its proper divisors (1231811899478328).

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

484107780009672 is a wasteful number, since it uses less digits than its factorization.

484107780009672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469658 (or 3469648 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 484107780009672 in words is "four hundred eighty-four trillion, one hundred seven billion, seven hundred eighty million, nine thousand, six hundred seventy-two".