3640930458624 has 528 divisors, whose sum is σ = 11098406651904. Its totient is φ = 1147414118400.

The previous prime is 3640930458593. The next prime is 3640930458689. The reversal of 3640930458624 is 4268540390463.

3640930458624 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 9 + 3 + 0 + 4 + 5 + 8 + 624 = 666.

3640930458624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 13435167609 + ... + 13435167879.

It is an arithmetic number, because the mean of its divisors is an integer number (21019709568).

Almost surely, 2^{3640930458624} 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 3640930458624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549203325952).

3640930458624 is an abundant number, since it is smaller than the sum of its proper divisors (7457476193280).

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

3640930458624 is a wasteful number, since it uses less digits than its factorization.

3640930458624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3640930458624 in words is "three trillion, six hundred forty billion, nine hundred thirty million, four hundred fifty-eight thousand, six hundred twenty-four".