32320895040 has 336 divisors, whose sum is σ = 134526966912. Its totient is φ = 6952992768.

The previous prime is 32320895039. The next prime is 32320895069. The reversal of 32320895040 is 4059802323.

32320895040 is a `hidden beast` number, since 323 + 208 + 95 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 32320894986 and 32320895004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295567 + ... + 389873.

Almost surely, 2^32320895040 is an apocalyptic number.

32320895040 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 32320895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67263483456).

32320895040 is an abundant number, since it is smaller than the sum of its proper divisors (102206071872).

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

32320895040 is a wasteful number, since it uses less digits than its factorization.

32320895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94354 (or 94341 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 32320895040 in words is "thirty-two billion, three hundred twenty million, eight hundred ninety-five thousand, forty".