475643722648600 has 288 divisors, whose sum is σ = 1292189573480400. Its totient is φ = 162235751040000.

The previous prime is 475643722648579. The next prime is 475643722648603. The reversal of 475643722648600 is 6846227346574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475643722648603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41318722 + ... + 51560878.

Almost surely, 2^{475643722648600} is an apocalyptic number.

475643722648600 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 475643722648600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646094786740200).

475643722648600 is an abundant number, since it is smaller than the sum of its proper divisors (816545850831800).

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

475643722648600 is a wasteful number, since it uses less digits than its factorization.

475643722648600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10242315 (or 10242295 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 64.

The spelling of 475643722648600 in words is "four hundred seventy-five trillion, six hundred forty-three billion, seven hundred twenty-two million, six hundred forty-eight thousand, six hundred".