473864868288 has 672 divisors, whose sum is σ = 1665349171200. Its totient is φ = 125959421952.

The previous prime is 473864868251. The next prime is 473864868353. The reversal of 473864868288 is 882868468374.

473864868288 is a `hidden beast` number, since 47 + 3 + 86 + 486 + 8 + 28 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 397203820 + ... + 397205012.

Almost surely, 2^473864868288 is an apocalyptic number.

473864868288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473864868288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832674585600).

473864868288 is an abundant number, since it is smaller than the sum of its proper divisors (1191484302912).

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

473864868288 is a wasteful number, since it uses less digits than its factorization.

473864868288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1356 counting only the distinct ones).

The product of its digits is 792723456, while the sum is 72.

The spelling of 473864868288 in words is "four hundred seventy-three billion, eight hundred sixty-four million, eight hundred sixty-eight thousand, two hundred eighty-eight".