478514615381280 has 768 divisors, whose sum is σ = 1831146267525120. Its totient is φ = 116184073420800.

The previous prime is 478514615381267. The next prime is 478514615381303. The reversal of 478514615381280 is 82183516415874.

478514615381280 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 1 + 4 + 6 + 1 + 538 + 12 + 80 = 666.

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, 6982420615 + ... + 6982489145.

It is an arithmetic number, because the mean of its divisors is an integer number (2384305035840).

Almost surely, 2^{478514615381280} is an apocalyptic number.

478514615381280 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 478514615381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915573133762560).

478514615381280 is an abundant number, since it is smaller than the sum of its proper divisors (1352631652143840).

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

478514615381280 is a wasteful number, since it uses less digits than its factorization.

478514615381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71670 (or 71656 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 478514615381280 in words is "four hundred seventy-eight trillion, five hundred fourteen billion, six hundred fifteen million, three hundred eighty-one thousand, two hundred eighty".