652335132960 has 1152 divisors, whose sum is σ = 2809122301440. Its totient is φ = 139552948224.

The previous prime is 652335132937. The next prime is 652335132971. The reversal of 652335132960 is 69231533256.

It is a happy number.

652335132960 is a `hidden beast` number, since 6 + 5 + 2 + 3 + 351 + 3 + 296 + 0 = 666.

It is a super-2 number, since 2×652335132960² (a number of 24 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 191 ways as a sum of consecutive naturals, for example, 1281601186 + ... + 1281601694.

It is an arithmetic number, because the mean of its divisors is an integer number (2438474220).

Almost surely, 2^652335132960 is an apocalyptic number.

652335132960 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 652335132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404561150720).

652335132960 is an abundant number, since it is smaller than the sum of its proper divisors (2156787168480).

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

652335132960 is a wasteful number, since it uses less digits than its factorization.

652335132960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 652335132960 in words is "six hundred fifty-two billion, three hundred thirty-five million, one hundred thirty-two thousand, nine hundred sixty".