609834610944 has 1152 divisors, whose sum is σ = 2114269122560. Its totient is φ = 171992678400.

The previous prime is 609834610943. The next prime is 609834610961. The reversal of 609834610944 is 449016438906.

It is a happy number.

609834610944 is a `hidden beast` number, since 6 + 0 + 98 + 3 + 461 + 0 + 94 + 4 = 666.

609834610944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×609834610944² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (609834610943) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6286954704 + ... + 6286954800.

Almost surely, 2^609834610944 is an apocalyptic number.

609834610944 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 609834610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057134561280).

609834610944 is an abundant number, since it is smaller than the sum of its proper divisors (1504434511616).

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

609834610944 is a wasteful number, since it uses less digits than its factorization.

609834610944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 609834610944 in words is "six hundred nine billion, eight hundred thirty-four million, six hundred ten thousand, nine hundred forty-four".