36642776040 has 288 divisors, whose sum is σ = 135745740000. Its totient is φ = 8544766464.

The previous prime is 36642776033. The next prime is 36642776077. The reversal of 36642776040 is 4067724663.

36642776040 is a `hidden beast` number, since 36 + 6 + 4 + 2 + 7 + 7 + 604 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1140111 + ... + 1171809.

It is an arithmetic number, because the mean of its divisors is an integer number (471339375).

Almost surely, 2^36642776040 is an apocalyptic number.

36642776040 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 36642776040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67872870000).

36642776040 is an abundant number, since it is smaller than the sum of its proper divisors (99102963960).

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

36642776040 is a wasteful number, since it uses less digits than its factorization.

36642776040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31761 (or 31741 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 36642776040 in words is "thirty-six billion, six hundred forty-two million, seven hundred seventy-six thousand, forty".