479978767296 has 672 divisors, whose sum is σ = 1701105868800. Its totient is φ = 126354401280.

The previous prime is 479978767183. The next prime is 479978767313. The reversal of 479978767296 is 692767879974.

479978767296 is a `hidden beast` number, since 479 + 9 + 7 + 8 + 76 + 72 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 465546301 + ... + 465547331.

Almost surely, 2^479978767296 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 479978767296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850552934400).

479978767296 is an abundant number, since it is smaller than the sum of its proper divisors (1221127101504).

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

479978767296 is a wasteful number, since it uses less digits than its factorization.

479978767296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1224 counting only the distinct ones).

The product of its digits is 4032758016, while the sum is 81.

The spelling of 479978767296 in words is "four hundred seventy-nine billion, nine hundred seventy-eight million, seven hundred sixty-seven thousand, two hundred ninety-six".