6048612864000 has 2496 divisors, whose sum is σ = 26943872237568. Its totient is φ = 1274904576000.

The previous prime is 6048612863983. The next prime is 6048612864017. The reversal of 6048612864000 is 4682168406.

6048612864000 is a `hidden beast` number, since 6 + 0 + 486 + 128 + 6 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6048612863983) and next prime (6048612864017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22998527869 + ... + 22998528131.

It is an arithmetic number, because the mean of its divisors is an integer number (10794820608).

Almost surely, 2^{6048612864000} is an apocalyptic number.

6048612864000 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 6048612864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471936118784).

6048612864000 is an abundant number, since it is smaller than the sum of its proper divisors (20895259373568).

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

6048612864000 is a wasteful number, since it uses less digits than its factorization.

6048612864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 6048612864000 in words is "six trillion, forty-eight billion, six hundred twelve million, eight hundred sixty-four thousand".