36021162240 has 864 divisors, whose sum is σ = 150994368000. Its totient is φ = 8106835968.

The previous prime is 36021162239. The next prime is 36021162251. The reversal of 36021162240 is 4226112063.

36021162240 is a `hidden beast` number, since 3 + 602 + 1 + 16 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150716041 + ... + 150716279.

It is an arithmetic number, because the mean of its divisors is an integer number (174762000).

Almost surely, 2^36021162240 is an apocalyptic number.

36021162240 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 36021162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75497184000).

36021162240 is an abundant number, since it is smaller than the sum of its proper divisors (114973205760).

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

36021162240 is a wasteful number, since it uses less digits than its factorization.

36021162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 36021162240 in words is "thirty-six billion, twenty-one million, one hundred sixty-two thousand, two hundred forty".