478339046640 has 1440 divisors, whose sum is σ = 2069455939200. Its totient is φ = 98907734016.

The previous prime is 478339046597. The next prime is 478339046659. The reversal of 478339046640 is 46640933874.

478339046640 is a `hidden beast` number, since 478 + 3 + 3 + 90 + 46 + 6 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3046745442 + ... + 3046745598.

It is an arithmetic number, because the mean of its divisors is an integer number (1437122180).

Almost surely, 2^478339046640 is an apocalyptic number.

478339046640 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 478339046640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034727969600).

478339046640 is an abundant number, since it is smaller than the sum of its proper divisors (1591116892560).

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

478339046640 is a wasteful number, since it uses less digits than its factorization.

478339046640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 478339046640 in words is "four hundred seventy-eight billion, three hundred thirty-nine million, forty-six thousand, six hundred forty".