609434496000 has 2816 divisors, whose sum is σ = 2781100707840. Its totient is φ = 129761280000.

The previous prime is 609434495993. The next prime is 609434496019. The reversal of 609434496000 is 694434906.

It is a happy number.

609434496000 is a `hidden beast` number, since 6 + 0 + 9 + 4 + 34 + 4 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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 255 ways as a sum of consecutive naturals, for example, 14864255980 + ... + 14864256020.

Almost surely, 2^609434496000 is an apocalyptic number.

609434496000 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 609434496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390550353920).

609434496000 is an abundant number, since it is smaller than the sum of its proper divisors (2171666211840).

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

609434496000 is a wasteful number, since it uses less digits than its factorization.

609434496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 609434496000 in words is "six hundred nine billion, four hundred thirty-four million, four hundred ninety-six thousand".