655149362400 has 1152 divisors, whose sum is σ = 2672708935680. Its totient is φ = 153778176000.

The previous prime is 655149362383. The next prime is 655149362407. The reversal of 655149362400 is 4263941556.

655149362400 is a `hidden beast` number, since 6 + 5 + 5 + 14 + 9 + 3 + 624 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655149362407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 635449885 + ... + 635450915.

It is an arithmetic number, because the mean of its divisors is an integer number (2320059840).

Almost surely, 2^655149362400 is an apocalyptic number.

655149362400 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 655149362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336354467840).

655149362400 is an abundant number, since it is smaller than the sum of its proper divisors (2017559573280).

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

655149362400 is a wasteful number, since it uses less digits than its factorization.

655149362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 655149362400 in words is "six hundred fifty-five billion, one hundred forty-nine million, three hundred sixty-two thousand, four hundred".