36417998241792 has 1920 divisors, whose sum is σ = 125623959552000. Its totient is φ = 10363514388480.

The previous prime is 36417998241743. The next prime is 36417998241799. The reversal of 36417998241792 is 29714289971463.

36417998241792 is a `hidden beast` number, since 3 + 6 + 41 + 7 + 9 + 9 + 82 + 417 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36417998241792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36417998241799) 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 127 ways as a sum of consecutive naturals, for example, 353572798413 + ... + 353572798515.

It is an arithmetic number, because the mean of its divisors is an integer number (65429145600).

Almost surely, 2^{36417998241792} is an apocalyptic number.

36417998241792 is a gapful number since it is divisible by the number (32) 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 36417998241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62811979776000).

36417998241792 is an abundant number, since it is smaller than the sum of its proper divisors (89205961310208).

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

36417998241792 is a wasteful number, since it uses less digits than its factorization.

36417998241792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 36417998241792 in words is "thirty-six trillion, four hundred seventeen billion, nine hundred ninety-eight million, two hundred forty-one thousand, seven hundred ninety-two".