609089062400 has 480 divisors, whose sum is σ = 1870151635968. Its totient is φ = 191434752000.

The previous prime is 609089062399. The next prime is 609089062423. The reversal of 609089062400 is 4260980906.

It is a super-2 number, since 2×609089062400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175883069 + ... + 175886531.

Almost surely, 2^609089062400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609089062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935075817984).

609089062400 is an abundant number, since it is smaller than the sum of its proper divisors (1261062573568).

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

609089062400 is a wasteful number, since it uses less digits than its factorization.

609089062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 609089062400 in words is "six hundred nine billion, eighty-nine million, sixty-two thousand, four hundred".