478305467972640 has 2880 divisors, whose sum is σ = 2235065629547520. Its totient is φ = 94102546728960.

The previous prime is 478305467972543. The next prime is 478305467972671. The reversal of 478305467972640 is 46279764503874.

478305467972640 is a `hidden beast` number, since 4 + 7 + 8 + 3 + 0 + 546 + 7 + 9 + 72 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×478305467972640² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 277600386819 + ... + 277600388541.

It is an arithmetic number, because the mean of its divisors is an integer number (776064454704).

Almost surely, 2^{478305467972640} is an apocalyptic number.

478305467972640 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 478305467972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117532814773760).

478305467972640 is an abundant number, since it is smaller than the sum of its proper divisors (1756760161574880).

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

478305467972640 is an equidigital number, since it uses as much as digits as its factorization.

478305467972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 478305467972640 in words is "four hundred seventy-eight trillion, three hundred five billion, four hundred sixty-seven million, nine hundred seventy-two thousand, six hundred forty".