36418273920 has 960 divisors, whose sum is σ = 154487282400. Its totient is φ = 8183089152.

The previous prime is 36418273889. The next prime is 36418273937. The reversal of 36418273920 is 2937281463.

36418273920 is a `hidden beast` number, since 364 + 18 + 273 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×36418273920³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 617258851 + ... + 617258909.

Almost surely, 2^36418273920 is an apocalyptic number.

36418273920 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 36418273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77243641200).

36418273920 is an abundant number, since it is smaller than the sum of its proper divisors (118069008480).

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

36418273920 is an frugal number, since it uses more digits than its factorization.

36418273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 36418273920 in words is "thirty-six billion, four hundred eighteen million, two hundred seventy-three thousand, nine hundred twenty".