6168415249920 has 1280 divisors, whose sum is σ = 25509592424448. Its totient is φ = 1234419056640.

The previous prime is 6168415249849. The next prime is 6168415249937. The reversal of 6168415249920 is 299425148616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1856277379 + ... + 1856280701.

Almost surely, 2^{6168415249920} is an apocalyptic number.

6168415249920 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 6168415249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12754796212224).

6168415249920 is an abundant number, since it is smaller than the sum of its proper divisors (19341177174528).

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

6168415249920 is a wasteful number, since it uses less digits than its factorization.

6168415249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 6168415249920 in words is "six trillion, one hundred sixty-eight billion, four hundred fifteen million, two hundred forty-nine thousand, nine hundred twenty".