6107399760000 has 1280 divisors, whose sum is σ = 26374877337600. Its totient is φ = 1213808640000.

The previous prime is 6107399759983. The next prime is 6107399760019. The reversal of 6107399760000 is 679937016.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 425032816 + ... + 425047184.

It is an arithmetic number, because the mean of its divisors is an integer number (20605372920).

Almost surely, 2^{6107399760000} is an apocalyptic number.

6107399760000 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 6107399760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13187438668800).

6107399760000 is an abundant number, since it is smaller than the sum of its proper divisors (20267477577600).

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

6107399760000 is a wasteful number, since it uses less digits than its factorization.

6107399760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14447 (or 14420 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 48.

The spelling of 6107399760000 in words is "six trillion, one hundred seven billion, three hundred ninety-nine million, seven hundred sixty thousand".