473636782080000 has 5040 divisors, whose sum is σ = 2234158772541696. Its totient is φ = 97462517760000.

The previous prime is 473636782079971. The next prime is 473636782080013. The reversal of 473636782080000 is 80287636374.

473636782080000 is a `hidden beast` number, since 4 + 7 + 363 + 6 + 78 + 208 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 4598415359949 + ... + 4598415360051.

Almost surely, 2^{473636782080000} is an apocalyptic number.

473636782080000 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 473636782080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117079386270848).

473636782080000 is an abundant number, since it is smaller than the sum of its proper divisors (1760521990461696).

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

473636782080000 is an frugal number, since it uses more digits than its factorization.

473636782080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 473636782080000 in words is "four hundred seventy-three trillion, six hundred thirty-six billion, seven hundred eighty-two million, eighty thousand".