32646395040 has 576 divisors, whose sum is σ = 129193263360. Its totient is φ = 6888161280.

The previous prime is 32646395039. The next prime is 32646395147. The reversal of 32646395040 is 4059364623.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 32646394983 and 32646395001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15686800 + ... + 15688880.

It is an arithmetic number, because the mean of its divisors is an integer number (224293860).

Almost surely, 2^32646395040 is an apocalyptic number.

32646395040 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 32646395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64596631680).

32646395040 is an abundant number, since it is smaller than the sum of its proper divisors (96546868320).

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

32646395040 is a wasteful number, since it uses less digits than its factorization.

32646395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 32646395040 in words is "thirty-two billion, six hundred forty-six million, three hundred ninety-five thousand, forty".