7832236032 has 364 divisors, whose sum is σ = 24423137464. Its totient is φ = 2508226560.

The previous prime is 7832236001. The next prime is 7832236037. The reversal of 7832236032 is 2306322387.

It is a happy number.

It is a super-2 number, since 2×7832236032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7832236037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128397282 + ... + 128397342.

Almost surely, 2^7832236032 is an apocalyptic number.

7832236032 is a gapful number since it is divisible by the number (72) 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 7832236032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12211568732).

7832236032 is an abundant number, since it is smaller than the sum of its proper divisors (16590901432).

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

7832236032 is an frugal number, since it uses more digits than its factorization.

7832236032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 7832236032 is about 88499.9210847106. The cubic root of 7832236032 is about 1985.9207898237.

The spelling of 7832236032 in words is "seven billion, eight hundred thirty-two million, two hundred thirty-six thousand, thirty-two".