32372845440 has 256 divisors, whose sum is σ = 111543022080. Its totient is φ = 7938809856.

The previous prime is 32372845423. The next prime is 32372845451. The reversal of 32372845440 is 4454827323.

It is a super-2 number, since 2×32372845440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32372845392 and 32372845401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7061389 + ... + 7065971.

It is an arithmetic number, because the mean of its divisors is an integer number (435714930).

Almost surely, 2^32372845440 is an apocalyptic number.

32372845440 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 32372845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55771511040).

32372845440 is an abundant number, since it is smaller than the sum of its proper divisors (79170176640).

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

32372845440 is a wasteful number, since it uses less digits than its factorization.

32372845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 32372845440 in words is "thirty-two billion, three hundred seventy-two million, eight hundred forty-five thousand, four hundred forty".