36418995486720 has 3456 divisors, whose sum is σ = 171716835064320. Its totient is φ = 6909528637440.

The previous prime is 36418995486689. The next prime is 36418995486781. The reversal of 36418995486720 is 2768459981463.

36418995486720 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 8 + 9 + 9 + 548 + 6 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 409202196436 + ... + 409202196524.

It is an arithmetic number, because the mean of its divisors is an integer number (49686584220).

It is a 1-persistent number, because it is pandigital, but 2⋅36418995486720 = 72837990973440 is not.

Almost surely, 2^{36418995486720} is an apocalyptic number.

36418995486720 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 36418995486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85858417532160).

36418995486720 is an abundant number, since it is smaller than the sum of its proper divisors (135297839577600).

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

36418995486720 is a wasteful number, since it uses less digits than its factorization.

36418995486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 36418995486720 in words is "thirty-six trillion, four hundred eighteen billion, nine hundred ninety-five million, four hundred eighty-six thousand, seven hundred twenty".