3640020975360 has 1440 divisors, whose sum is σ = 16678770780672. Its totient is φ = 735865896960.

The previous prime is 3640020975313. The next prime is 3640020975377. The reversal of 3640020975360 is 635790200463.

3640020975360 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 0 + 20 + 97 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 295378159 + ... + 295390481.

Almost surely, 2^{3640020975360} is an apocalyptic number.

3640020975360 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 3640020975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339385390336).

3640020975360 is an abundant number, since it is smaller than the sum of its proper divisors (13038749805312).

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

3640020975360 is a wasteful number, since it uses less digits than its factorization.

3640020975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12411 (or 12388 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3640020975360 in words is "three trillion, six hundred forty billion, twenty million, nine hundred seventy-five thousand, three hundred sixty".