32821883640 has 1536 divisors, whose sum is σ = 150764544000. Its totient is φ = 6348948480.

The previous prime is 32821883593. The next prime is 32821883651. The reversal of 32821883640 is 4638812823.

32821883640 is a `hidden beast` number, since 3 + 282 + 1 + 8 + 8 + 364 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1058770425 + ... + 1058770455.

It is an arithmetic number, because the mean of its divisors is an integer number (98154000).

Almost surely, 2^32821883640 is an apocalyptic number.

32821883640 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 32821883640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75382272000).

32821883640 is an abundant number, since it is smaller than the sum of its proper divisors (117942660360).

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

32821883640 is a wasteful number, since it uses less digits than its factorization.

32821883640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 32821883640 in words is "thirty-two billion, eight hundred twenty-one million, eight hundred eighty-three thousand, six hundred forty".