478995340320 has 768 divisors, whose sum is σ = 1949306204160. Its totient is φ = 108939893760.

The previous prime is 478995340289. The next prime is 478995340367. The reversal of 478995340320 is 23043599874.

478995340320 is a `hidden beast` number, since 4 + 7 + 89 + 9 + 534 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 693191175 + ... + 693191865.

It is an arithmetic number, because the mean of its divisors is an integer number (2538159120).

Almost surely, 2^478995340320 is an apocalyptic number.

478995340320 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 478995340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974653102080).

478995340320 is an abundant number, since it is smaller than the sum of its proper divisors (1470310863840).

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

478995340320 is an equidigital number, since it uses as much as digits as its factorization.

478995340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 478995340320 in words is "four hundred seventy-eight billion, nine hundred ninety-five million, three hundred forty thousand, three hundred twenty".