6055536640000 has 225 divisors, whose sum is σ = 15153240408537. Its totient is φ = 2419064832000.

The previous prime is 6055536639979. The next prime is 6055536640007. The reversal of 6055536640000 is 466355506.

It is a happy number.

The square root of 6055536640000 is 2460800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 5171876478976 + 883660161024 = 2274176^2 + 940032^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6055536640007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7874559616 + ... + 7874560384.

Almost surely, 2^{6055536640000} is an apocalyptic number.

6055536640000 is the 2460800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6055536640000

6055536640000 is an abundant number, since it is smaller than the sum of its proper divisors (9097703768537).

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

6055536640000 is an frugal number, since it uses more digits than its factorization.

6055536640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 6055536640000 in words is "six trillion, fifty-five billion, five hundred thirty-six million, six hundred forty thousand".