36434967920640 has 2304 divisors, whose sum is σ = 146313542592000. Its totient is φ = 8561413324800.

The previous prime is 36434967920629. The next prime is 36434967920641. The reversal of 36434967920640 is 4602976943463.

36434967920640 is a `hidden beast` number, since 3 + 6 + 434 + 96 + 79 + 2 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (36434967920641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 360742256590 + ... + 360742256690.

It is an arithmetic number, because the mean of its divisors is an integer number (63504141750).

Almost surely, 2^{36434967920640} is an apocalyptic number.

36434967920640 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 36434967920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73156771296000).

36434967920640 is an abundant number, since it is smaller than the sum of its proper divisors (109878574671360).

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

36434967920640 is a wasteful number, since it uses less digits than its factorization.

36434967920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 63.

The spelling of 36434967920640 in words is "thirty-six trillion, four hundred thirty-four billion, nine hundred sixty-seven million, nine hundred twenty thousand, six hundred forty".