35997632064 has 112 divisors (see below), whose sum is σ = 107015889600. Its totient is φ = 11864337408.

The previous prime is 35997632003. The next prime is 35997632071. The reversal of 35997632064 is 46023679953.

It is a super-3 number, since 3×35997632064³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 35997632064.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36759 + ... + 270825.

Almost surely, 2^35997632064 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 35997632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53507944800).

35997632064 is an abundant number, since it is smaller than the sum of its proper divisors (71018257536).

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

35997632064 is a wasteful number, since it uses less digits than its factorization.

35997632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234177 (or 234161 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 35997632064 in words is "thirty-five billion, nine hundred ninety-seven million, six hundred thirty-two thousand, sixty-four".