35006995968 has 480 divisors, whose sum is σ = 116741813760. Its totient is φ = 9119416320.

The previous prime is 35006995943. The next prime is 35006995981. The reversal of 35006995968 is 86959960053.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112562533 + ... + 112562843.

It is an arithmetic number, because the mean of its divisors is an integer number (243212112).

Almost surely, 2^35006995968 is an apocalyptic number.

35006995968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35006995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58370906880).

35006995968 is an abundant number, since it is smaller than the sum of its proper divisors (81734817792).

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

35006995968 is a wasteful number, since it uses less digits than its factorization.

35006995968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 60.

The spelling of 35006995968 in words is "thirty-five billion, six million, nine hundred ninety-five thousand, nine hundred sixty-eight".