3664516541250 has 80 divisors (see below), whose sum is σ = 9159450537600. Its totient is φ = 977088024000.

The previous prime is 3664516541207. The next prime is 3664516541267. The reversal of 3664516541250 is 521456154663.

It is a happy number.

3664516541250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3664516541250³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3664516541250.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34105111 + ... + 34212389.

It is an arithmetic number, because the mean of its divisors is an integer number (114493131720).

Almost surely, 2^{3664516541250} is an apocalyptic number.

3664516541250 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 3664516541250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579725268800).

3664516541250 is an abundant number, since it is smaller than the sum of its proper divisors (5494933996350).

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

3664516541250 is a wasteful number, since it uses less digits than its factorization.

3664516541250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116413 (or 116398 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 3664516541250 in words is "three trillion, six hundred sixty-four billion, five hundred sixteen million, five hundred forty-one thousand, two hundred fifty".