609128486400 has 960 divisors, whose sum is σ = 2374669440000. Its totient is φ = 137570549760.

The previous prime is 609128486387. The next prime is 609128486459. The reversal of 609128486400 is 4684821906.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 609128486400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1356633376 + ... + 1356633824.

It is an arithmetic number, because the mean of its divisors is an integer number (2473614000).

Almost surely, 2^609128486400 is an apocalyptic number.

609128486400 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 609128486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187334720000).

609128486400 is an abundant number, since it is smaller than the sum of its proper divisors (1765540953600).

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

609128486400 is a wasteful number, since it uses less digits than its factorization.

609128486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 609128486400 in words is "six hundred nine billion, one hundred twenty-eight million, four hundred eighty-six thousand, four hundred".