32465989140480 has 736 divisors, whose sum is σ = 131941379604480. Its totient is φ = 7419891548160.

The previous prime is 32465989140439. The next prime is 32465989140503. The reversal of 32465989140480 is 8404198956423.

32465989140480 is a `hidden beast` number, since 3 + 2 + 4 + 6 + 5 + 9 + 8 + 9 + 140 + 480 = 666.

It is a super-4 number, since 4×32465989140480⁴ (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3963613185 + ... + 3963621375.

Almost surely, 2^{32465989140480} is an apocalyptic number.

32465989140480 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 32465989140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65970689802240).

32465989140480 is an abundant number, since it is smaller than the sum of its proper divisors (99475390464000).

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

32465989140480 is an frugal number, since it uses more digits than its factorization.

32465989140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 32465989140480 in words is "thirty-two trillion, four hundred sixty-five billion, nine hundred eighty-nine million, one hundred forty thousand, four hundred eighty".