32076400804200 has 672 divisors, whose sum is σ = 115703234697600. Its totient is φ = 8260765793280.

The previous prime is 32076400804171. The next prime is 32076400804211. The reversal of 32076400804200 is 240800467023.

32076400804200 is a `hidden beast` number, since 3 + 2 + 0 + 7 + 640 + 0 + 8 + 0 + 4 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 557947857 + ... + 558005343.

Almost surely, 2^{32076400804200} is an apocalyptic number.

32076400804200 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 32076400804200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57851617348800).

32076400804200 is an abundant number, since it is smaller than the sum of its proper divisors (83626833893400).

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

32076400804200 is a wasteful number, since it uses less digits than its factorization.

32076400804200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57653 (or 57629 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 32076400804200 in words is "thirty-two trillion, seventy-six billion, four hundred million, eight hundred four thousand, two hundred".