652494259200 has 1056 divisors, whose sum is σ = 2542649902848. Its totient is φ = 144506880000.

The previous prime is 652494259169. The next prime is 652494259201. The reversal of 652494259200 is 2952494256.

It is a super-3 number, since 3×652494259200³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 652494259200.

It is not an unprimeable number, because it can be changed into a prime (652494259201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3312153502 + ... + 3312153698.

It is an arithmetic number, because the mean of its divisors is an integer number (2407812408).

Almost surely, 2^652494259200 is an apocalyptic number.

652494259200 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 652494259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271324951424).

652494259200 is an abundant number, since it is smaller than the sum of its proper divisors (1890155643648).

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

652494259200 is a wasteful number, since it uses less digits than its factorization.

652494259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 652494259200 in words is "six hundred fifty-two billion, four hundred ninety-four million, two hundred fifty-nine thousand, two hundred".