35719987968 has 216 divisors, whose sum is σ = 120209177088. Its totient is φ = 9988356096.

The previous prime is 35719987957. The next prime is 35719987969. The reversal of 35719987968 is 86978991753.

35719987968 is a `hidden beast` number, since 357 + 199 + 87 + 9 + 6 + 8 = 666.

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 = 35719987896 and 35719987905.

It is not an unprimeable number, because it can be changed into a prime (35719987969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734455 + ... + 781577.

It is an arithmetic number, because the mean of its divisors is an integer number (556523968).

Almost surely, 2^35719987968 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 35719987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60104588544).

35719987968 is an abundant number, since it is smaller than the sum of its proper divisors (84489189120).

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

35719987968 is a wasteful number, since it uses less digits than its factorization.

35719987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47199 (or 47182 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 35719987968 in words is "thirty-five billion, seven hundred nineteen million, nine hundred eighty-seven thousand, nine hundred sixty-eight".