475850833920 has 1536 divisors, whose sum is σ = 2142082252800. Its totient is φ = 98099527680.

The previous prime is 475850833919. The next prime is 475850833921. The reversal of 475850833920 is 29338058574.

475850833920 is a `hidden beast` number, since 4 + 7 + 585 + 0 + 8 + 3 + 39 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (475850833919) and next prime (475850833921).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×475850833920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475850833921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3746856897 + ... + 3746857023.

It is an arithmetic number, because the mean of its divisors is an integer number (1394584800).

Almost surely, 2^475850833920 is an apocalyptic number.

475850833920 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 475850833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071041126400).

475850833920 is an abundant number, since it is smaller than the sum of its proper divisors (1666231418880).

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

475850833920 is a wasteful number, since it uses less digits than its factorization.

475850833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 475850833920 in words is "four hundred seventy-five billion, eight hundred fifty million, eight hundred thirty-three thousand, nine hundred twenty".