478733359104 has 1728 divisors, whose sum is σ = 1989316143360. Its totient is φ = 111078604800.

The previous prime is 478733359067. The next prime is 478733359141. The reversal of 478733359104 is 401953337874.

478733359104 is a `hidden beast` number, since 47 + 8 + 7 + 3 + 3 + 3 + 591 + 0 + 4 = 666.

478733359104 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (478733359067) and next prime (478733359141).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15443011569 + ... + 15443011599.

It is an arithmetic number, because the mean of its divisors is an integer number (1151224620).

Almost surely, 2^478733359104 is an apocalyptic number.

478733359104 is a gapful number since it is divisible by the number (44) 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 478733359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994658071680).

478733359104 is an abundant number, since it is smaller than the sum of its proper divisors (1510582784256).

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

478733359104 is a wasteful number, since it uses less digits than its factorization.

478733359104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 478733359104 in words is "four hundred seventy-eight billion, seven hundred thirty-three million, three hundred fifty-nine thousand, one hundred four".