652001969203200 has 6480 divisors, whose sum is σ = 3196322148539520. Its totient is φ = 129758920704000.

The previous prime is 652001969203157. The next prime is 652001969203253. The reversal of 652001969203200 is 2302969100256.

652001969203200 is a `hidden beast` number, since 6 + 52 + 0 + 0 + 196 + 9 + 203 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a super-2 number, since 2×652001969203200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 6721669785552 + ... + 6721669785648.

It is an arithmetic number, because the mean of its divisors is an integer number (493259590824).

Almost surely, 2^{652001969203200} is an apocalyptic number.

652001969203200 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 652001969203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598161074269760).

652001969203200 is an abundant number, since it is smaller than the sum of its proper divisors (2544320179336320).

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

652001969203200 is a wasteful number, since it uses less digits than its factorization.

652001969203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 652001969203200 in words is "six hundred fifty-two trillion, one billion, nine hundred sixty-nine million, two hundred three thousand, two hundred".