36402114560 has 208 divisors, whose sum is σ = 103066632192. Its totient is φ = 12076646400.

The previous prime is 36402114557. The next prime is 36402114563. The reversal of 36402114560 is 6541120463.

It is an interprime number because it is at equal distance from previous prime (36402114557) and next prime (36402114563).

It is a super-2 number, since 2×36402114560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (36402114563) by changing a digit.

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, 4440065 + ... + 4448255.

Almost surely, 2^36402114560 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 36402114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51533316096).

36402114560 is an abundant number, since it is smaller than the sum of its proper divisors (66664517632).

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

36402114560 is an equidigital number, since it uses as much as digits as its factorization.

36402114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 36402114560 in words is "thirty-six billion, four hundred two million, one hundred fourteen thousand, five hundred sixty".