478723332787920 has 480 divisors, whose sum is σ = 1820608538845824. Its totient is φ = 115940421273600.

The previous prime is 478723332787913. The next prime is 478723332787939. The reversal of 478723332787920 is 29787233327874.

478723332787920 is a `hidden beast` number, since 4 + 78 + 72 + 3 + 3 + 327 + 87 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217234314 + ... + 219426966.

Almost surely, 2^{478723332787920} is an apocalyptic number.

478723332787920 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 478723332787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910304269422912).

478723332787920 is an abundant number, since it is smaller than the sum of its proper divisors (1341885206057904).

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

478723332787920 is a wasteful number, since it uses less digits than its factorization.

478723332787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193713 (or 2193695 counting only the distinct ones).

The product of its (nonzero) digits is 1194891264, while the sum is 72.

The spelling of 478723332787920 in words is "four hundred seventy-eight trillion, seven hundred twenty-three billion, three hundred thirty-two million, seven hundred eighty-seven thousand, nine hundred twenty".