32487880464 has 400 divisors, whose sum is σ = 110707914240. Its totient is φ = 9102274560.

The previous prime is 32487880409. The next prime is 32487880511. The reversal of 32487880464 is 46408878423.

It is a happy number.

32487880464 is a `hidden beast` number, since 3 + 24 + 87 + 8 + 80 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 32487880464.

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 79 ways as a sum of consecutive naturals, for example, 8877067 + ... + 8880725.

Almost surely, 2^32487880464 is an apocalyptic number.

32487880464 is a gapful number since it is divisible by the number (34) 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 32487880464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55353957120).

32487880464 is an abundant number, since it is smaller than the sum of its proper divisors (78220033776).

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

32487880464 is a wasteful number, since it uses less digits than its factorization.

32487880464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 32487880464 in words is "thirty-two billion, four hundred eighty-seven million, eight hundred eighty thousand, four hundred sixty-four".