36405741720 has 128 divisors (see below), whose sum is σ = 111990574080. Its totient is φ = 9462144000.

The previous prime is 36405741719. The next prime is 36405741727. The reversal of 36405741720 is 2714750463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36405741727) 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, 6053515 + ... + 6059525.

It is an arithmetic number, because the mean of its divisors is an integer number (874926360).

Almost surely, 2^36405741720 is an apocalyptic number.

36405741720 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 36405741720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55995287040).

36405741720 is an abundant number, since it is smaller than the sum of its proper divisors (75584832360).

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

36405741720 is a wasteful number, since it uses less digits than its factorization.

36405741720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 36405741720 in words is "thirty-six billion, four hundred five million, seven hundred forty-one thousand, seven hundred twenty".