32464090849536 has 360 divisors, whose sum is σ = 97824698826624. Its totient is φ = 10707605913600.

The previous prime is 32464090849529. The next prime is 32464090849571. The reversal of 32464090849536 is 63594809046423.

32464090849536 is a `hidden beast` number, since 3 + 2 + 4 + 6 + 4 + 0 + 90 + 8 + 4 + 9 + 536 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 804681781 + ... + 804722123.

Almost surely, 2^{32464090849536} is an apocalyptic number.

32464090849536 is a gapful number since it is divisible by the number (36) 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 32464090849536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48912349413312).

32464090849536 is an abundant number, since it is smaller than the sum of its proper divisors (65360607977088).

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

32464090849536 is a wasteful number, since it uses less digits than its factorization.

32464090849536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40779 (or 40756 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 32464090849536 in words is "thirty-two trillion, four hundred sixty-four billion, ninety million, eight hundred forty-nine thousand, five hundred thirty-six".