6001801953840 has 2880 divisors, whose sum is σ = 28121378688000. Its totient is φ = 1143376819200.

The previous prime is 6001801953803. The next prime is 6001801953841. The reversal of 6001801953840 is 483591081006.

6001801953840 is a `hidden beast` number, since 6 + 0 + 0 + 1 + 80 + 195 + 384 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6001801953841) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 193606514625 + ... + 193606514655.

It is an arithmetic number, because the mean of its divisors is an integer number (9764367600).

Almost surely, 2^{6001801953840} is an apocalyptic number.

6001801953840 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 6001801953840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060689344000).

6001801953840 is an abundant number, since it is smaller than the sum of its proper divisors (22119576734160).

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

6001801953840 is a wasteful number, since it uses less digits than its factorization.

6001801953840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 6001801953840 in words is "six trillion, one billion, eight hundred one million, nine hundred fifty-three thousand, eight hundred forty".