35768216040 has 64 divisors (see below), whose sum is σ = 111004819200. Its totient is φ = 9209286912.

The previous prime is 35768215913. The next prime is 35768216047. The reversal of 35768216040 is 4061286753.

It is a super-2 number, since 2×35768216040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35768215983 and 35768216001.

It is not an unprimeable number, because it can be changed into a prime (35768216047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5135632 + ... + 5142591.

It is an arithmetic number, because the mean of its divisors is an integer number (1734450300).

Almost surely, 2^35768216040 is an apocalyptic number.

35768216040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35768216040 is an abundant number, since it is smaller than the sum of its proper divisors (75236603160).

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

35768216040 is a wasteful number, since it uses less digits than its factorization.

35768216040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10278266 (or 10278262 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 35768216040 in words is "thirty-five billion, seven hundred sixty-eight million, two hundred sixteen thousand, forty".