36076706640 has 400 divisors, whose sum is σ = 136210813200. Its totient is φ = 8796708864.

The previous prime is 36076706639. The next prime is 36076706647. The reversal of 36076706640 is 4660767063.

It can be written as a sum of positive squares in 8 ways, for example, as 4590333504 + 31486373136 = 67752^2 + 177444^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36076706647) 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 79 ways as a sum of consecutive naturals, for example, 9180196 + ... + 9184124.

It is an arithmetic number, because the mean of its divisors is an integer number (340527033).

Almost surely, 2^36076706640 is an apocalyptic number.

36076706640 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 36076706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68105406600).

36076706640 is an abundant number, since it is smaller than the sum of its proper divisors (100134106560).

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

36076706640 is a wasteful number, since it uses less digits than its factorization.

36076706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 36076706640 in words is "thirty-six billion, seventy-six million, seven hundred six thousand, six hundred forty".