36004124160 has 480 divisors, whose sum is σ = 133553452032. Its totient is φ = 9286410240.

The previous prime is 36004124147. The next prime is 36004124173. The reversal of 36004124160 is 6142140063.

36004124160 is a `hidden beast` number, since 3 + 600 + 4 + 12 + 41 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36004124147) and next prime (36004124173).

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19283547 + ... + 19285413.

Almost surely, 2^36004124160 is an apocalyptic number.

36004124160 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 36004124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66776726016).

36004124160 is an abundant number, since it is smaller than the sum of its proper divisors (97549327872).

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

36004124160 is an equidigital number, since it uses as much as digits as its factorization.

36004124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1908 counting only the distinct ones).

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

The spelling of 36004124160 in words is "thirty-six billion, four million, one hundred twenty-four thousand, one hundred sixty".