6104192640000 has 3520 divisors, whose sum is σ = 27502876262400. Its totient is φ = 1192181760000.

The previous prime is 6104192639959. The next prime is 6104192640019. The reversal of 6104192640000 is 462914016.

It is a super-2 number, since 2×6104192640000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 196909439985 + ... + 196909440015.

It is an arithmetic number, because the mean of its divisors is an integer number (7813317120).

Almost surely, 2^{6104192640000} is an apocalyptic number.

6104192640000 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 6104192640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751438131200).

6104192640000 is an abundant number, since it is smaller than the sum of its proper divisors (21398683622400).

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

6104192640000 is a wasteful number, since it uses less digits than its factorization.

6104192640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 6104192640000 in words is "six trillion, one hundred four billion, one hundred ninety-two million, six hundred forty thousand".