36420735895488 has 336 divisors, whose sum is σ = 123435167993280. Its totient is φ = 10045933535232.

The previous prime is 36420735895483. The next prime is 36420735895493. The reversal of 36420735895488 is 88459853702463.

36420735895488 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 0 + 7 + 3 + 58 + 95 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (36420735895483) and next prime (36420735895493).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36420735895483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1657209556 + ... + 1657231532.

Almost surely, 2^{36420735895488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36420735895488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61717583996640).

36420735895488 is an abundant number, since it is smaller than the sum of its proper divisors (87014432097792).

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

36420735895488 is a wasteful number, since it uses less digits than its factorization.

36420735895488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36204 (or 36191 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 36420735895488 in words is "thirty-six trillion, four hundred twenty billion, seven hundred thirty-five million, eight hundred ninety-five thousand, four hundred eighty-eight".