655344362400 has 576 divisors, whose sum is σ = 2649592915200. Its totient is φ = 136996945920.

The previous prime is 655344362353. The next prime is 655344362401. The reversal of 655344362400 is 4263443556.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (655344362401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23791836 + ... + 23819364.

It is an arithmetic number, because the mean of its divisors is an integer number (4599987700).

Almost surely, 2^655344362400 is an apocalyptic number.

655344362400 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 655344362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324796457600).

655344362400 is an abundant number, since it is smaller than the sum of its proper divisors (1994248552800).

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

655344362400 is a wasteful number, since it uses less digits than its factorization.

655344362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27681 (or 27668 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 655344362400 in words is "six hundred fifty-five billion, three hundred forty-four million, three hundred sixty-two thousand, four hundred".