32498129664 has 1296 divisors, whose sum is σ = 134501495520. Its totient is φ = 7664025600.

The previous prime is 32498129659. The next prime is 32498129687. The reversal of 32498129664 is 46692189423.

32498129664 is a `hidden beast` number, since 3 + 2 + 498 + 1 + 2 + 96 + 64 = 666.

It is a super-2 number, since 2×32498129664² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 32498129664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 532756194 + ... + 532756254.

Almost surely, 2^32498129664 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 32498129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67250747760).

32498129664 is an abundant number, since it is smaller than the sum of its proper divisors (102003365856).

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

32498129664 is a wasteful number, since it uses less digits than its factorization.

32498129664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 32498129664 in words is "thirty-two billion, four hundred ninety-eight million, one hundred twenty-nine thousand, six hundred sixty-four".