83042375472 has 800 divisors, whose sum is σ = 311434066944. Its totient is φ = 20802355200.

The previous prime is 83042375467. The next prime is 83042375473. The reversal of 83042375472 is 27457324038.

83042375472 is a `hidden beast` number, since 8 + 30 + 42 + 37 + 547 + 2 = 666.

It is a super-2 number, since 2×83042375472² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83042375473) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 145432947 + ... + 145433517.

Almost surely, 2^83042375472 is an apocalyptic number.

83042375472 is a gapful number since it is divisible by the number (82) 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 83042375472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155717033472).

83042375472 is an abundant number, since it is smaller than the sum of its proper divisors (228391691472).

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

83042375472 is a wasteful number, since it uses less digits than its factorization.

83042375472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 83042375472 in words is "eighty-three billion, forty-two million, three hundred seventy-five thousand, four hundred seventy-two".