83475483840 has 672 divisors, whose sum is σ = 344405468160. Its totient is φ = 18153676800.

The previous prime is 83475483827. The next prime is 83475483841. The reversal of 83475483840 is 4838457438.

83475483840 is a `hidden beast` number, since 83 + 4 + 7 + 5 + 483 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×83475483840² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83475483841) 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, 41508435 + ... + 41510445.

Almost surely, 2^83475483840 is an apocalyptic number.

83475483840 is a gapful number since it is divisible by the number (80) 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 83475483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172202734080).

83475483840 is an abundant number, since it is smaller than the sum of its proper divisors (260929984320).

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

83475483840 is a wasteful number, since it uses less digits than its factorization.

83475483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 83475483840 in words is "eighty-three billion, four hundred seventy-five million, four hundred eighty-three thousand, eight hundred forty".