609200222400 has 4032 divisors, whose sum is σ = 3179785766400. Its totient is φ = 112870195200.

The previous prime is 609200222359. The next prime is 609200222413. The reversal of 609200222400 is 4222002906.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×609200222400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 32063169591 + ... + 32063169609.

Almost surely, 2^609200222400 is an apocalyptic number.

609200222400 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 609200222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589892883200).

609200222400 is an abundant number, since it is smaller than the sum of its proper divisors (2570585544000).

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

609200222400 is a wasteful number, since it uses less digits than its factorization.

609200222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 609200222400 in words is "six hundred nine billion, two hundred million, two hundred twenty-two thousand, four hundred".