475679757280 has 288 divisors, whose sum is σ = 1417000060224. Its totient is φ = 147701219328.

The previous prime is 475679757263. The next prime is 475679757299. The reversal of 475679757280 is 82757976574.

It is a congruent number.

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, 10008132 + ... + 10055548.

It is an arithmetic number, because the mean of its divisors is an integer number (4920139098).

Almost surely, 2^475679757280 is an apocalyptic number.

475679757280 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 475679757280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708500030112).

475679757280 is an abundant number, since it is smaller than the sum of its proper divisors (941320302944).

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

475679757280 is a wasteful number, since it uses less digits than its factorization.

475679757280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47518 (or 47497 counting only the distinct ones).

The product of its (nonzero) digits is 207446400, while the sum is 67.

The spelling of 475679757280 in words is "four hundred seventy-five billion, six hundred seventy-nine million, seven hundred fifty-seven thousand, two hundred eighty".