3640524560010 has 384 divisors, whose sum is σ = 11465502048000. Its totient is φ = 791685881856.

The previous prime is 3640524559981. The next prime is 3640524560017. The reversal of 3640524560010 is 100654250463.

3640524560010 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 5 + 2 + 45 + 600 + 1 + 0 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3640524560017) 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 191 ways as a sum of consecutive naturals, for example, 41148001 + ... + 41236379.

It is an arithmetic number, because the mean of its divisors is an integer number (29858078250).

Almost surely, 2^{3640524560010} is an apocalyptic number.

3640524560010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640524560010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732751024000).

3640524560010 is an abundant number, since it is smaller than the sum of its proper divisors (7824977487990).

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

3640524560010 is a wasteful number, since it uses less digits than its factorization.

3640524560010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88550 (or 88547 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 3640524560010 in words is "three trillion, six hundred forty billion, five hundred twenty-four million, five hundred sixty thousand, ten".