36787806858240 has 2112 divisors, whose sum is σ = 152136509091840. Its totient is φ = 8462039777280.

The previous prime is 36787806858227. The next prime is 36787806858241. The reversal of 36787806858240 is 4285860878763.

36787806858240 is a `hidden beast` number, since 36 + 7 + 8 + 7 + 8 + 0 + 6 + 8 + 582 + 4 + 0 = 666.

36787806858240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (36787806858241) 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 191 ways as a sum of consecutive naturals, for example, 12457772604 + ... + 12457775556.

Almost surely, 2^{36787806858240} is an apocalyptic number.

36787806858240 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 36787806858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76068254545920).

36787806858240 is an abundant number, since it is smaller than the sum of its proper divisors (115348702233600).

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

36787806858240 is a wasteful number, since it uses less digits than its factorization.

36787806858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 36787806858240 in words is "thirty-six trillion, seven hundred eighty-seven billion, eight hundred six million, eight hundred fifty-eight thousand, two hundred forty".