652016749507200 has 9216 divisors, whose sum is σ = 3351671010754560. Its totient is φ = 116493189120000.

The previous prime is 652016749507147. The next prime is 652016749507213. The reversal of 652016749507200 is 2705947610256.

It is a happy number.

652016749507200 is a `hidden beast` number, since 6 + 5 + 20 + 1 + 67 + 495 + 0 + 72 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3413700259105 + ... + 3413700259295.

It is an arithmetic number, because the mean of its divisors is an integer number (363679580160).

Almost surely, 2^{652016749507200} is an apocalyptic number.

652016749507200 is a gapful number since it is divisible by the number (60) 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 652016749507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675835505377280).

652016749507200 is an abundant number, since it is smaller than the sum of its proper divisors (2699654261247360).

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

652016749507200 is a wasteful number, since it uses less digits than its factorization.

652016749507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 652016749507200 in words is "six hundred fifty-two trillion, sixteen billion, seven hundred forty-nine million, five hundred seven thousand, two hundred".