36807437040 has 160 divisors (see below), whose sum is σ = 124545600000. Its totient is φ = 8918031360.

The previous prime is 36807437039. The next prime is 36807437041. The reversal of 36807437040 is 4073470863.

It is an interprime number because it is at equal distance from previous prime (36807437039) and next prime (36807437041).

It is a junction number, because it is equal to n+sod(n) for n = 36807436983 and 36807437001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36807437041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7360461 + ... + 7365459.

It is an arithmetic number, because the mean of its divisors is an integer number (778410000).

Almost surely, 2^36807437040 is an apocalyptic number.

36807437040 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 36807437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272800000).

36807437040 is an abundant number, since it is smaller than the sum of its proper divisors (87738162960).

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

36807437040 is a wasteful number, since it uses less digits than its factorization.

36807437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 36807437040 in words is "thirty-six billion, eight hundred seven million, four hundred thirty-seven thousand, forty".