32604661440 has 336 divisors, whose sum is σ = 121164327648. Its totient is φ = 7999782912.

The previous prime is 32604661387. The next prime is 32604661457. The reversal of 32604661440 is 4416640623.

32604661440 is a `hidden beast` number, since 3 + 2 + 604 + 6 + 6 + 1 + 4 + 40 = 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 = 32604661395 and 32604661404.

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, 13215087 + ... + 13217553.

It is an arithmetic number, because the mean of its divisors is an integer number (360608118).

Almost surely, 2^32604661440 is an apocalyptic number.

32604661440 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 32604661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60582163824).

32604661440 is an abundant number, since it is smaller than the sum of its proper divisors (88559666208).

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

32604661440 is a wasteful number, since it uses less digits than its factorization.

32604661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2843 counting only the distinct ones).

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

The spelling of 32604661440 in words is "thirty-two billion, six hundred four million, six hundred sixty-one thousand, four hundred forty".