479789029632 has 864 divisors, whose sum is σ = 1565241172992. Its totient is φ = 129761280000.

The previous prime is 479789029607. The next prime is 479789029637. The reversal of 479789029632 is 236920987974.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (479789029637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4750386382 + ... + 4750386482.

It is an arithmetic number, because the mean of its divisors is an integer number (1811621728).

Almost surely, 2^479789029632 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 479789029632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782620586496).

479789029632 is an abundant number, since it is smaller than the sum of its proper divisors (1085452143360).

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

479789029632 is a wasteful number, since it uses less digits than its factorization.

479789029632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 479789029632 in words is "four hundred seventy-nine billion, seven hundred eighty-nine million, twenty-nine thousand, six hundred thirty-two".