36821790720 has 936 divisors, whose sum is σ = 152272393728. Its totient is φ = 8174960640.

The previous prime is 36821790701. The next prime is 36821790727. The reversal of 36821790720 is 2709712863.

36821790720 is a `hidden beast` number, since 368 + 217 + 9 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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 (36821790727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289935297 + ... + 289935423.

Almost surely, 2^36821790720 is an apocalyptic number.

36821790720 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 36821790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76136196864).

36821790720 is an abundant number, since it is smaller than the sum of its proper divisors (115450603008).

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

36821790720 is a wasteful number, since it uses less digits than its factorization.

36821790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

It can be divided in two parts, 36821 and 790720, that added together give a triangular number (827541 = T₁₂₈₆).

The spelling of 36821790720 in words is "thirty-six billion, eight hundred twenty-one million, seven hundred ninety thousand, seven hundred twenty".