32082623040 has 896 divisors, whose sum is σ = 123055123968. Its totient is φ = 7007109120.

The previous prime is 32082623021. The next prime is 32082623129. The reversal of 32082623040 is 4032628023.

It is a super-2 number, since 2×32082623040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32082622989 and 32082623007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 478845087 + ... + 478845153.

It is an arithmetic number, because the mean of its divisors is an integer number (137338308).

Almost surely, 2^32082623040 is an apocalyptic number.

32082623040 is a gapful number since it is divisible by the number (30) 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 32082623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61527561984).

32082623040 is an abundant number, since it is smaller than the sum of its proper divisors (90972500928).

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

32082623040 is a wasteful number, since it uses less digits than its factorization.

32082623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 32082623040 in words is "thirty-two billion, eighty-two million, six hundred twenty-three thousand, forty".