6544155152400 has 240 divisors, whose sum is σ = 21306807902016. Its totient is φ = 1716677058560.

The previous prime is 6544155152399. The next prime is 6544155152459. The reversal of 6544155152400 is 42515514456.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23065804 + ... + 23347796.

Almost surely, 2^{6544155152400} is an apocalyptic number.

6544155152400 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 6544155152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10653403951008).

6544155152400 is an abundant number, since it is smaller than the sum of its proper divisors (14762652749616).

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

6544155152400 is a wasteful number, since it uses less digits than its factorization.

6544155152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282330 (or 282319 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 6544155152400 in words is "six trillion, five hundred forty-four billion, one hundred fifty-five million, one hundred fifty-two thousand, four hundred".