32464086893568 has 528 divisors, whose sum is σ = 105868521158400. Its totient is φ = 9491088015360.

The previous prime is 32464086893551. The next prime is 32464086893569. The reversal of 32464086893568 is 86539868046423.

32464086893568 is a `hidden beast` number, since 3 + 2 + 464 + 0 + 86 + 89 + 3 + 5 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 32464086893496 and 32464086893505.

It is not an unprimeable number, because it can be changed into a prime (32464086893569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4730302105 + ... + 4730308967.

It is an arithmetic number, because the mean of its divisors is an integer number (200508562800).

Almost surely, 2^{32464086893568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32464086893568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934260579200).

32464086893568 is an abundant number, since it is smaller than the sum of its proper divisors (73404434264832).

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

32464086893568 is a wasteful number, since it uses less digits than its factorization.

32464086893568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8538 (or 8517 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 32464086893568 in words is "thirty-two trillion, four hundred sixty-four billion, eighty-six million, eight hundred ninety-three thousand, five hundred sixty-eight".