609225926400 has 3456 divisors, whose sum is σ = 3035145738240. Its totient is φ = 115935805440.

The previous prime is 609225926389. The next prime is 609225926467. The reversal of 609225926400 is 4629522906.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11494828774 + ... + 11494828826.

It is an arithmetic number, because the mean of its divisors is an integer number (878225040).

Almost surely, 2^609225926400 is an apocalyptic number.

609225926400 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 609225926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517572869120).

609225926400 is an abundant number, since it is smaller than the sum of its proper divisors (2425919811840).

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

609225926400 is a wasteful number, since it uses less digits than its factorization.

609225926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 609225926400 in words is "six hundred nine billion, two hundred twenty-five million, nine hundred twenty-six thousand, four hundred".