478961270784 has 408 divisors, whose sum is σ = 1477642025600. Its totient is φ = 149060321280.

The previous prime is 478961270779. The next prime is 478961270789. The reversal of 478961270784 is 487072169874.

478961270784 is a `hidden beast` number, since 4 + 7 + 8 + 9 + 612 + 7 + 0 + 7 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (478961270779) and next prime (478961270789).

It is a super-2 number, since 2×478961270784² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (478961270789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 885325554 + ... + 885326094.

Almost surely, 2^478961270784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478961270784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738821012800).

478961270784 is an abundant number, since it is smaller than the sum of its proper divisors (998680754816).

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

478961270784 is an equidigital number, since it uses as much as digits as its factorization.

478961270784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 478961270784 in words is "four hundred seventy-eight billion, nine hundred sixty-one million, two hundred seventy thousand, seven hundred eighty-four".