208270400832 has 336 divisors, whose sum is σ = 650771896320. Its totient is φ = 63302529024.

The previous prime is 208270400809. The next prime is 208270400843. The reversal of 208270400832 is 238004072802.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 369929383 + ... + 369929945.

It is an arithmetic number, because the mean of its divisors is an integer number (1936821120).

Almost surely, 2^208270400832 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 208270400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325385948160).

208270400832 is an abundant number, since it is smaller than the sum of its proper divisors (442501495488).

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

208270400832 is a wasteful number, since it uses less digits than its factorization.

208270400832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 208270400832 in words is "two hundred eight billion, two hundred seventy million, four hundred thousand, eight hundred thirty-two".