609820452864 has 288 divisors, whose sum is σ = 2015264160000. Its totient is φ = 174028455936.

The previous prime is 609820452847. The next prime is 609820452907. The reversal of 609820452864 is 468254028906.

609820452864 is a `hidden beast` number, since 6 + 0 + 98 + 20 + 4 + 528 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 609820452864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134053662 + ... + 134058210.

It is an arithmetic number, because the mean of its divisors is an integer number (6997445000).

Almost surely, 2^609820452864 is an apocalyptic number.

609820452864 is a gapful number since it is divisible by the number (64) 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 609820452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007632080000).

609820452864 is an abundant number, since it is smaller than the sum of its proper divisors (1405443707136).

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

609820452864 is a wasteful number, since it uses less digits than its factorization.

609820452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 609820452864 in words is "six hundred nine billion, eight hundred twenty million, four hundred fifty-two thousand, eight hundred sixty-four".