6127787928960 has 256 divisors, whose sum is σ = 21798202291200. Its totient is φ = 1626877163520.

The previous prime is 6127787928953. The next prime is 6127787928961. The reversal of 6127787928960 is 698297877216.

6127787928960 is a `hidden beast` number, since 6 + 1 + 277 + 8 + 79 + 289 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6127787928961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3141465 + ... + 4703655.

It is an arithmetic number, because the mean of its divisors is an integer number (85149227700).

Almost surely, 2^{6127787928960} is an apocalyptic number.

6127787928960 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 6127787928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10899101145600).

6127787928960 is an abundant number, since it is smaller than the sum of its proper divisors (15670414362240).

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

6127787928960 is a wasteful number, since it uses less digits than its factorization.

6127787928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562446 (or 1562428 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 6127787928960 in words is "six trillion, one hundred twenty-seven billion, seven hundred eighty-seven million, nine hundred twenty-eight thousand, nine hundred sixty".