36219672000 has 336 divisors, whose sum is σ = 129938032224. Its totient is φ = 9630720000.

The previous prime is 36219671989. The next prime is 36219672001. The reversal of 36219672000 is 27691263.

36219672000 is a `hidden beast` number, since 3 + 621 + 9 + 6 + 7 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36219672001) 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 47 ways as a sum of consecutive naturals, for example, 41111560 + ... + 41112440.

It is an arithmetic number, because the mean of its divisors is an integer number (386720334).

Almost surely, 2^36219672000 is an apocalyptic number.

36219672000 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 36219672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64969016112).

36219672000 is an abundant number, since it is smaller than the sum of its proper divisors (93718360224).

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

36219672000 is a wasteful number, since it uses less digits than its factorization.

36219672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 36219672000 in words is "thirty-six billion, two hundred nineteen million, six hundred seventy-two thousand".