6107905979136 has 1728 divisors, whose sum is σ = 22311551808000. Its totient is φ = 1645969932288.

The previous prime is 6107905979059. The next prime is 6107905979159. The reversal of 6107905979136 is 6319795097016.

6107905979136 is a `hidden beast` number, since 6 + 1 + 0 + 7 + 9 + 0 + 597 + 9 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 17501163090 + ... + 17501163438.

Almost surely, 2^{6107905979136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6107905979136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155775904000).

6107905979136 is an abundant number, since it is smaller than the sum of its proper divisors (16203645828864).

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

6107905979136 is a wasteful number, since it uses less digits than its factorization.

6107905979136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 63.

The spelling of 6107905979136 in words is "six trillion, one hundred seven billion, nine hundred five million, nine hundred seventy-nine thousand, one hundred thirty-six".