473646777749632 has 256 divisors, whose sum is σ = 988144800444000. Its totient is φ = 225858216263680.

The previous prime is 473646777749623. The next prime is 473646777749687. The reversal of 473646777749632 is 236947777646374.

It can be written as a sum of positive squares in 16 ways, for example, as 83981388626496 + 389665389123136 = 9164136^2 + 19739944^2 .

It is a super-2 number, since 2×473646777749632² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203020477938 + ... + 203020480270.

Almost surely, 2^{473646777749632} 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 473646777749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494072400222000).

473646777749632 is an abundant number, since it is smaller than the sum of its proper divisors (514498022694368).

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

473646777749632 is a wasteful number, since it uses less digits than its factorization.

473646777749632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3927 counting only the distinct ones).

The product of its digits is 37639074816, while the sum is 82.

The spelling of 473646777749632 in words is "four hundred seventy-three trillion, six hundred forty-six billion, seven hundred seventy-seven million, seven hundred forty-nine thousand, six hundred thirty-two".