478060704000 has 1584 divisors, whose sum is σ = 2033477357184. Its totient is φ = 110854656000.

The previous prime is 478060703971. The next prime is 478060704061. The reversal of 478060704000 is 407060874.

It is a happy number.

478060704000 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 607 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 20785247989 + ... + 20785248011.

Almost surely, 2^478060704000 is an apocalyptic number.

478060704000 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 478060704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016738678592).

478060704000 is an abundant number, since it is smaller than the sum of its proper divisors (1555416653184).

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

478060704000 is an frugal number, since it uses more digits than its factorization.

478060704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 478060704000 its reverse (407060874), we get a palindrome (478467764874).

The spelling of 478060704000 in words is "four hundred seventy-eight billion, sixty million, seven hundred four thousand".