32403824640 has 672 divisors, whose sum is σ = 125497449792. Its totient is φ = 7667712000.

The previous prime is 32403824573. The next prime is 32403824641. The reversal of 32403824640 is 4642830423.

32403824640 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 3 + 8 + 2 + 4 + 640 = 666.

It is a super-2 number, since 2×32403824640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32403824595 and 32403824604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32403824641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 247357375 + ... + 247357505.

Almost surely, 2^32403824640 is an apocalyptic number.

32403824640 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 32403824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62748724896).

32403824640 is an abundant number, since it is smaller than the sum of its proper divisors (93093625152).

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

32403824640 is a wasteful number, since it uses less digits than its factorization.

32403824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 32403824640 in words is "thirty-two billion, four hundred three million, eight hundred twenty-four thousand, six hundred forty".