36781920000 has 1080 divisors, whose sum is σ = 156890653920. Its totient is φ = 8110080000.

The previous prime is 36781919989. The next prime is 36781920017. The reversal of 36781920000 is 2918763.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 413279956 + ... + 413280044.

It is an arithmetic number, because the mean of its divisors is an integer number (145269124).

Almost surely, 2^36781920000 is an apocalyptic number.

36781920000 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 36781920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78445326960).

36781920000 is an abundant number, since it is smaller than the sum of its proper divisors (120108733920).

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

36781920000 is an equidigital number, since it uses as much as digits as its factorization.

36781920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 36781920000 in words is "thirty-six billion, seven hundred eighty-one million, nine hundred twenty thousand".