6107980253760 has 1344 divisors, whose sum is σ = 27453734922240. Its totient is φ = 1264111349760.

The previous prime is 6107980253743. The next prime is 6107980253761. The reversal of 6107980253760 is 673520897016.

6107980253760 is a `hidden beast` number, since 6 + 10 + 7 + 98 + 0 + 2 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 6107980253697 and 6107980253706.

It is not an unprimeable number, because it can be changed into a prime (6107980253761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1224777987 + ... + 1224782973.

Almost surely, 2^{6107980253760} is an apocalyptic number.

6107980253760 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 6107980253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726867461120).

6107980253760 is an abundant number, since it is smaller than the sum of its proper divisors (21345754668480).

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

6107980253760 is a wasteful number, since it uses less digits than its factorization.

6107980253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5301 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 6107980253760 in words is "six trillion, one hundred seven billion, nine hundred eighty million, two hundred fifty-three thousand, seven hundred sixty".