935684766864 has 135 divisors (see below), whose sum is σ = 2641192391019. Its totient is φ = 309229021440.

The previous prime is 935684766847. The next prime is 935684766883. The reversal of 935684766864 is 468667486539.

The square root of 935684766864 is 967308.

It is a perfect power (a square), and thus also a powerful number.

935684766864 is a `hidden beast` number, since 9 + 35 + 6 + 8 + 476 + 68 + 64 = 666.

935684766864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 246917560464 + 688767206400 = 496908^2 + 829920^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 935684766792 and 935684766801.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1729546434 + ... + 1729546974.

Almost surely, 2^935684766864 is an apocalyptic number.

935684766864 is the 967308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 935684766864

935684766864 is an abundant number, since it is smaller than the sum of its proper divisors (1705507624155).

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

935684766864 is an equidigital number, since it uses as much as digits as its factorization.

935684766864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 695 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 935684766864 in words is "nine hundred thirty-five billion, six hundred eighty-four million, seven hundred sixty-six thousand, eight hundred sixty-four".