36490414464 has 640 divisors, whose sum is σ = 131121408000. Its totient is φ = 10059033600.

The previous prime is 36490414463. The next prime is 36490414501. The reversal of 36490414464 is 46441409463.

36490414464 is a `hidden beast` number, since 3 + 64 + 90 + 41 + 4 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36490414463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110242779 + ... + 110243109.

It is an arithmetic number, because the mean of its divisors is an integer number (204877200).

Almost surely, 2^36490414464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36490414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65560704000).

36490414464 is an abundant number, since it is smaller than the sum of its proper divisors (94630993536).

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

36490414464 is an equidigital number, since it uses as much as digits as its factorization.

36490414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 36490414464 in words is "thirty-six billion, four hundred ninety million, four hundred fourteen thousand, four hundred sixty-four".