32825917440 has 720 divisors, whose sum is σ = 126237357792. Its totient is φ = 8153726976.

The previous prime is 32825917433. The next prime is 32825917451. The reversal of 32825917440 is 4471952823.

32825917440 is a `hidden beast` number, since 328 + 259 + 1 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 338411472 + ... + 338411568.

Almost surely, 2^32825917440 is an apocalyptic number.

32825917440 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 32825917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63118678896).

32825917440 is an abundant number, since it is smaller than the sum of its proper divisors (93411440352).

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

32825917440 is an frugal number, since it uses more digits than its factorization.

32825917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 32825917440 in words is "thirty-two billion, eight hundred twenty-five million, nine hundred seventeen thousand, four hundred forty".