478764486369792 has 3840 divisors, whose sum is σ = 1841150158848000. Its totient is φ = 121141323104256.

The previous prime is 478764486369791. The next prime is 478764486369803. The reversal of 478764486369792 is 297963684467874.

478764486369792 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 6 + 4 + 486 + 36 + 9 + 7 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (478764486369791) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 2767424776618 + ... + 2767424776790.

It is an arithmetic number, because the mean of its divisors is an integer number (479466187200).

Almost surely, 2^{478764486369792} is an apocalyptic number.

478764486369792 is a gapful number since it is divisible by the number (42) 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 478764486369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920575079424000).

478764486369792 is an abundant number, since it is smaller than the sum of its proper divisors (1362385672478208).

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

478764486369792 is a wasteful number, since it uses less digits than its factorization.

478764486369792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 385 counting only the distinct ones).

The product of its digits is 147483721728, while the sum is 90.

The spelling of 478764486369792 in words is "four hundred seventy-eight trillion, seven hundred sixty-four billion, four hundred eighty-six million, three hundred sixty-nine thousand, seven hundred ninety-two".