36004769740800 has 1728 divisors, whose sum is σ = 154311478120800. Its totient is φ = 8204687769600.

The previous prime is 36004769740697. The next prime is 36004769740801. The reversal of 36004769740800 is 804796740063.

It is a happy number.

36004769740800 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 476 + 97 + 4 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36004769740801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31227033024 + ... + 31227034176.

Almost surely, 2^{36004769740800} is an apocalyptic number.

36004769740800 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 36004769740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77155739060400).

36004769740800 is an abundant number, since it is smaller than the sum of its proper divisors (118306708380000).

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

36004769740800 is a wasteful number, since it uses less digits than its factorization.

36004769740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 36004769740800 in words is "thirty-six trillion, four billion, seven hundred sixty-nine million, seven hundred forty thousand, eight hundred".