6048736761600 has 2592 divisors, whose sum is σ = 26341960881600. Its totient is φ = 1307993702400.

The previous prime is 6048736761593. The next prime is 6048736761611. The reversal of 6048736761600 is 61676378406.

6048736761600 is a `hidden beast` number, since 6 + 0 + 487 + 36 + 76 + 1 + 60 + 0 = 666.

It is a super-2 number, since 2×6048736761600² (a number of 26 digits) contains 22 as substring.

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, 21525753460 + ... + 21525753740.

It is an arithmetic number, because the mean of its divisors is an integer number (10162793550).

Almost surely, 2^{6048736761600} is an apocalyptic number.

6048736761600 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 6048736761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13170980440800).

6048736761600 is an abundant number, since it is smaller than the sum of its proper divisors (20293224120000).

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

6048736761600 is a wasteful number, since it uses less digits than its factorization.

6048736761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 6048736761600 in words is "six trillion, forty-eight billion, seven hundred thirty-six million, seven hundred sixty-one thousand, six hundred".