475827939840 has 320 divisors, whose sum is σ = 1694771527680. Its totient is φ = 112896983040.

The previous prime is 475827939779. The next prime is 475827939857. The reversal of 475827939840 is 48939728574.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 3910641 + ... + 4030479.

It is an arithmetic number, because the mean of its divisors is an integer number (5296161024).

Almost surely, 2^475827939840 is an apocalyptic number.

475827939840 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 475827939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847385763840).

475827939840 is an abundant number, since it is smaller than the sum of its proper divisors (1218943587840).

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

475827939840 is a wasteful number, since it uses less digits than its factorization.

475827939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119923 (or 119907 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 475827939840 in words is "four hundred seventy-five billion, eight hundred twenty-seven million, nine hundred thirty-nine thousand, eight hundred forty".