472821949264 has 160 divisors (see below), whose sum is σ = 1104397568000. Its totient is φ = 195815854080.

The previous prime is 472821949213. The next prime is 472821949283. The reversal of 472821949264 is 462949128274.

It is a junction number, because it is equal to n+sod(n) for n = 472821949199 and 472821949208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149200672 + ... + 149203840.

It is an arithmetic number, because the mean of its divisors is an integer number (6902484800).

Almost surely, 2^472821949264 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 472821949264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552198784000).

472821949264 is an abundant number, since it is smaller than the sum of its proper divisors (631575618736).

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

472821949264 is a wasteful number, since it uses less digits than its factorization.

472821949264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4086 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 58.

The spelling of 472821949264 in words is "four hundred seventy-two billion, eight hundred twenty-one million, nine hundred forty-nine thousand, two hundred sixty-four".