32640388300800 has 1932 divisors, whose sum is σ = 140978660806576. Its totient is φ = 7338354278400.

The previous prime is 32640388300789. The next prime is 32640388300829. The reversal of 32640388300800 is 800388304623.

32640388300800 is a `hidden beast` number, since 3 + 264 + 0 + 3 + 8 + 8 + 300 + 80 + 0 = 666.

It is a super-2 number, since 2×32640388300800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 83 ways as a sum of consecutive naturals, for example, 535088332770 + ... + 535088332830.

Almost surely, 2^{32640388300800} is an apocalyptic number.

32640388300800 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 32640388300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70489330403288).

32640388300800 is an abundant number, since it is smaller than the sum of its proper divisors (108338272505776).

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

32640388300800 is an frugal number, since it uses more digits than its factorization.

32640388300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 32640388300800 in words is "thirty-two trillion, six hundred forty billion, three hundred eighty-eight million, three hundred thousand, eight hundred".