36298296960 has 128 divisors (see below), whose sum is σ = 116046216000. Its totient is φ = 9650651136.

The previous prime is 36298296917. The next prime is 36298297003. The reversal of 36298296960 is 6969289263.

It is an interprime number because it is at equal distance from previous prime (36298296917) and next prime (36298297003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 36298296894 and 36298296903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618991 + ... + 675089.

Almost surely, 2^36298296960 is an apocalyptic number.

36298296960 is a gapful number since it is divisible by the number (30) 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 36298296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58023108000).

36298296960 is an abundant number, since it is smaller than the sum of its proper divisors (79747919040).

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

36298296960 is a wasteful number, since it uses less digits than its factorization.

36298296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56458 (or 56446 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 36298296960 in words is "thirty-six billion, two hundred ninety-eight million, two hundred ninety-six thousand, nine hundred sixty".