609335400960 has 2880 divisors, whose sum is σ = 2824140743424. Its totient is φ = 119899422720.

The previous prime is 609335400893. The next prime is 609335400967. The reversal of 609335400960 is 69004533906.

It is a happy number.

609335400960 is a `hidden beast` number, since 609 + 3 + 35 + 4 + 0 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 (609335400967) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14170590699 + ... + 14170590741.

Almost surely, 2^609335400960 is an apocalyptic number.

609335400960 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 609335400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412070371712).

609335400960 is an abundant number, since it is smaller than the sum of its proper divisors (2214805342464).

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

609335400960 is a wasteful number, since it uses less digits than its factorization.

609335400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 609335400960 in words is "six hundred nine billion, three hundred thirty-five million, four hundred thousand, nine hundred sixty".