32644160640 has 1536 divisors, whose sum is σ = 149700096000. Its totient is φ = 6502809600.

The previous prime is 32644160621. The next prime is 32644160657. The reversal of 32644160640 is 4606144623.

32644160640 is a `hidden beast` number, since 3 + 2 + 6 + 4 + 4 + 1 + 6 + 0 + 640 = 666.

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 = 32644160595 and 32644160604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 796199020 + ... + 796199060.

It is an arithmetic number, because the mean of its divisors is an integer number (97461000).

Almost surely, 2^32644160640 is an apocalyptic number.

32644160640 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 32644160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048000).

32644160640 is an abundant number, since it is smaller than the sum of its proper divisors (117055935360).

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

32644160640 is a wasteful number, since it uses less digits than its factorization.

32644160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 32644160640 in words is "thirty-two billion, six hundred forty-four million, one hundred sixty thousand, six hundred forty".