935690401872 has 120 divisors (see below), whose sum is σ = 2679968376800. Its totient is φ = 304593778944.

The previous prime is 935690401871. The next prime is 935690401907. The reversal of 935690401872 is 278104096539.

935690401872 is a `hidden beast` number, since 9 + 3 + 569 + 0 + 4 + 0 + 1 + 8 + 72 = 666.

It is a super-2 number, since 2×935690401872² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (935690401871) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72929154 + ... + 72941982.

It is a 1-persistent number, because it is pandigital, but 2⋅935690401872 = 1871380803744 is not.

Almost surely, 2^935690401872 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 935690401872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339984188400).

935690401872 is an abundant number, since it is smaller than the sum of its proper divisors (1744277974928).

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

935690401872 is a wasteful number, since it uses less digits than its factorization.

935690401872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24665 (or 24656 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 935690401872 in words is "nine hundred thirty-five billion, six hundred ninety million, four hundred one thousand, eight hundred seventy-two".