478296840672 has 144 divisors (see below), whose sum is σ = 1577666143872. Its totient is φ = 134616556800.

The previous prime is 478296840661. The next prime is 478296840677. The reversal of 478296840672 is 276048692874.

478296840672 is a `hidden beast` number, since 4 + 78 + 2 + 96 + 8 + 406 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×478296840672³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478296840677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635454 + ... + 1905597.

It is an arithmetic number, because the mean of its divisors is an integer number (10956014888).

Almost surely, 2^478296840672 is an apocalyptic number.

478296840672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

478296840672 is an abundant number, since it is smaller than the sum of its proper divisors (1099369303200).

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

478296840672 is a wasteful number, since it uses less digits than its factorization.

478296840672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541141 (or 3541130 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 478296840672 in words is "four hundred seventy-eight billion, two hundred ninety-six million, eight hundred forty thousand, six hundred seventy-two".