36300879720 has 288 divisors, whose sum is σ = 141668766720. Its totient is φ = 8029566720.

The previous prime is 36300879707. The next prime is 36300879733. The reversal of 36300879720 is 2797800363.

It is a happy number.

36300879720 is a `hidden beast` number, since 3 + 630 + 0 + 8 + 7 + 9 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36300879707) and next prime (36300879733).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 513649 + ... + 580031.

It is an arithmetic number, because the mean of its divisors is an integer number (491905440).

Almost surely, 2^36300879720 is an apocalyptic number.

36300879720 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 36300879720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70834383360).

36300879720 is an abundant number, since it is smaller than the sum of its proper divisors (105367887000).

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

36300879720 is a wasteful number, since it uses less digits than its factorization.

36300879720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66445 (or 66431 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 36300879720 in words is "thirty-six billion, three hundred million, eight hundred seventy-nine thousand, seven hundred twenty".