36407771136 has 640 divisors, whose sum is σ = 125607002400. Its totient is φ = 10404495360.

The previous prime is 36407771083. The next prime is 36407771189. The reversal of 36407771136 is 63117770463.

It is an interprime number because it is at equal distance from previous prime (36407771083) and next prime (36407771189).

It is a junction number, because it is equal to n+sod(n) for n = 36407771091 and 36407771100.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 846692331 + ... + 846692373.

Almost surely, 2^36407771136 is an apocalyptic number.

36407771136 is a gapful number since it is divisible by the number (36) 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 36407771136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62803501200).

36407771136 is an abundant number, since it is smaller than the sum of its proper divisors (89199231264).

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

36407771136 is an equidigital number, since it uses as much as digits as its factorization.

36407771136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 36407771136 in words is "thirty-six billion, four hundred seven million, seven hundred seventy-one thousand, one hundred thirty-six".