36436928855040 has 2816 divisors, whose sum is σ = 156627924480000. Its totient is φ = 8125650763776.

The previous prime is 36436928855017. The next prime is 36436928855051. The reversal of 36436928855040 is 4055882963463.

36436928855040 is a `hidden beast` number, since 3 + 6 + 4 + 36 + 9 + 2 + 8 + 8 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 203558261671 + ... + 203558261849.

Almost surely, 2^{36436928855040} is an apocalyptic number.

36436928855040 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 36436928855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78313962240000).

36436928855040 is an abundant number, since it is smaller than the sum of its proper divisors (120190995624960).

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

36436928855040 is an frugal number, since it uses more digits than its factorization.

36436928855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 36436928855040 in words is "thirty-six trillion, four hundred thirty-six billion, nine hundred twenty-eight million, eight hundred fifty-five thousand, forty".