652531904640 has 1536 divisors, whose sum is σ = 3015387648000. Its totient is φ = 130845818880.

The previous prime is 652531904621. The next prime is 652531904641. The reversal of 652531904640 is 46409135256.

652531904640 is a `hidden beast` number, since 6 + 52 + 53 + 1 + 90 + 464 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (652531904641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347275221 + ... + 347277099.

It is an arithmetic number, because the mean of its divisors is an integer number (1963143000).

Almost surely, 2^652531904640 is an apocalyptic number.

652531904640 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 652531904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507693824000).

652531904640 is an abundant number, since it is smaller than the sum of its proper divisors (2362855743360).

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

652531904640 is a wasteful number, since it uses less digits than its factorization.

652531904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 652531904640 in words is "six hundred fifty-two billion, five hundred thirty-one million, nine hundred four thousand, six hundred forty".