786268735920 has 240 divisors, whose sum is σ = 2704671889920. Its totient is φ = 204590098944.

The previous prime is 786268735907. The next prime is 786268735937. The reversal of 786268735920 is 29537862687.

It is a tau number, because it is divible by the number of its divisors (240).

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, 32155219 + ... + 32179661.

It is an arithmetic number, because the mean of its divisors is an integer number (11269466208).

Almost surely, 2^786268735920 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 786268735920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352335944960).

786268735920 is an abundant number, since it is smaller than the sum of its proper divisors (1918403154000).

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

786268735920 is a wasteful number, since it uses less digits than its factorization.

786268735920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25544 (or 25535 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 786268735920 in words is "seven hundred eighty-six billion, two hundred sixty-eight million, seven hundred thirty-five thousand, nine hundred twenty".