6102425640960 has 1344 divisors, whose sum is σ = 24185177009280. Its totient is φ = 1476748247040.

The previous prime is 6102425640943. The next prime is 6102425640977. The reversal of 6102425640960 is 690465242016.

6102425640960 is a `hidden beast` number, since 6 + 1 + 0 + 24 + 2 + 564 + 0 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6102425640943) and next prime (6102425640977).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10839121639 + ... + 10839122201.

It is an arithmetic number, because the mean of its divisors is an integer number (17994923370).

Almost surely, 2^{6102425640960} is an apocalyptic number.

6102425640960 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 6102425640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092588504640).

6102425640960 is an abundant number, since it is smaller than the sum of its proper divisors (18082751368320).

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

6102425640960 is an frugal number, since it uses more digits than its factorization.

6102425640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 6102425640960 in words is "six trillion, one hundred two billion, four hundred twenty-five million, six hundred forty thousand, nine hundred sixty".