36605015040 has 176 divisors, whose sum is σ = 127722974400. Its totient is φ = 8873902080.

The previous prime is 36605015021. The next prime is 36605015063. The reversal of 36605015040 is 4051050663.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36605014989 and 36605015007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60636 + ... + 277284.

Almost surely, 2^36605015040 is an apocalyptic number.

36605015040 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 36605015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63861487200).

36605015040 is an abundant number, since it is smaller than the sum of its proper divisors (91117959360).

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

36605015040 is a wasteful number, since it uses less digits than its factorization.

36605015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216688 (or 216670 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 36605015040 in words is "thirty-six billion, six hundred five million, fifteen thousand, forty".