6048645926400 has 2880 divisors, whose sum is σ = 29674234656000. Its totient is φ = 1190014156800.

The previous prime is 6048645926359. The next prime is 6048645926417. The reversal of 6048645926400 is 46295468406.

6048645926400 is a `hidden beast` number, since 6 + 0 + 4 + 8 + 6 + 4 + 592 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×6048645926400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3539288746 + ... + 3539290454.

It is an arithmetic number, because the mean of its divisors is an integer number (10303553700).

Almost surely, 2^{6048645926400} is an apocalyptic number.

6048645926400 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 6048645926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837117328000).

6048645926400 is an abundant number, since it is smaller than the sum of its proper divisors (23625588729600).

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

6048645926400 is a wasteful number, since it uses less digits than its factorization.

6048645926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 6048645926400 in words is "six trillion, forty-eight billion, six hundred forty-five million, nine hundred twenty-six thousand, four hundred".