472514663808000 has 7040 divisors, whose sum is σ = 2179323488010240. Its totient is φ = 100329062400000.

The previous prime is 472514663807993. The next prime is 472514663808097. The reversal of 472514663808000 is 808366415274.

It is a happy number.

472514663808000 is a `hidden beast` number, since 4 + 7 + 25 + 1 + 466 + 3 + 80 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3720587903937 + ... + 3720587904063.

It is an arithmetic number, because the mean of its divisors is an integer number (309562995456).

Almost surely, 2^{472514663808000} is an apocalyptic number.

472514663808000 is a gapful number since it is divisible by the number (40) 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 472514663808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089661744005120).

472514663808000 is an abundant number, since it is smaller than the sum of its proper divisors (1706808824202240).

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

472514663808000 is a wasteful number, since it uses less digits than its factorization.

472514663808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 472514663808000 in words is "four hundred seventy-two trillion, five hundred fourteen billion, six hundred sixty-three million, eight hundred eight thousand".