478445810068720 has 320 divisors, whose sum is σ = 1242640668407040. Its totient is φ = 170101112832000.

The previous prime is 478445810068697. The next prime is 478445810068867. The reversal of 478445810068720 is 27860018544874.

It is a happy number.

It is a super-2 number, since 2×478445810068720² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17147966770 + ... + 17147994670.

It is an arithmetic number, because the mean of its divisors is an integer number (3883252088772).

Almost surely, 2^{478445810068720} is an apocalyptic number.

478445810068720 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 478445810068720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621320334203520).

478445810068720 is an abundant number, since it is smaller than the sum of its proper divisors (764194858338320).

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

478445810068720 is a wasteful number, since it uses less digits than its factorization.

478445810068720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29484 (or 29478 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 64.

The spelling of 478445810068720 in words is "four hundred seventy-eight trillion, four hundred forty-five billion, eight hundred ten million, sixty-eight thousand, seven hundred twenty".