36072928416000 has 1152 divisors, whose sum is σ = 146212072022016. Its totient is φ = 7703197286400.

The previous prime is 36072928415963. The next prime is 36072928416011. The reversal of 36072928416000 is 61482927063.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 664580862 + ... + 664635138.

It is an arithmetic number, because the mean of its divisors is an integer number (126920201408).

Almost surely, 2^{36072928416000} is an apocalyptic number.

36072928416000 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 36072928416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73106036011008).

36072928416000 is an abundant number, since it is smaller than the sum of its proper divisors (110139143606016).

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

36072928416000 is a wasteful number, since it uses less digits than its factorization.

36072928416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54384 (or 54360 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 36072928416000 in words is "thirty-six trillion, seventy-two billion, nine hundred twenty-eight million, four hundred sixteen thousand".