609036800400 has 360 divisors, whose sum is σ = 2493380524544. Its totient is φ = 134717644800.

The previous prime is 609036800399. The next prime is 609036800419. The reversal of 609036800400 is 4008630906.

609036800400 is a `hidden beast` number, since 60 + 90 + 36 + 80 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391392 + ... + 1171008.

Almost surely, 2^609036800400 is an apocalyptic number.

609036800400 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 609036800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246690262272).

609036800400 is an abundant number, since it is smaller than the sum of its proper divisors (1884343724144).

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

609036800400 is a wasteful number, since it uses less digits than its factorization.

609036800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779679 (or 779665 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 609036800400 in words is "six hundred nine billion, thirty-six million, eight hundred thousand, four hundred".