473557426032768 has 384 divisors, whose sum is σ = 1581278464080000. Its totient is φ = 122914512568320.

The previous prime is 473557426032731. The next prime is 473557426032781. The reversal of 473557426032768 is 867230624755374.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457757758 + ... + 458791106.

It is an arithmetic number, because the mean of its divisors is an integer number (4117912666875).

Almost surely, 2^{473557426032768} is an apocalyptic number.

473557426032768 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 473557426032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790639232040000).

473557426032768 is an abundant number, since it is smaller than the sum of its proper divisors (1107721038047232).

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

473557426032768 is a wasteful number, since it uses less digits than its factorization.

473557426032768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034804 (or 1034781 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 69.

The spelling of 473557426032768 in words is "four hundred seventy-three trillion, five hundred fifty-seven billion, four hundred twenty-six million, thirty-two thousand, seven hundred sixty-eight".