6081207920400 has 240 divisors, whose sum is σ = 20018262999168. Its totient is φ = 1577107968000.

The previous prime is 6081207920363. The next prime is 6081207920401. The reversal of 6081207920400 is 40297021806.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6081207920400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6081207920401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15401445 + ... + 15791355.

Almost surely, 2^{6081207920400} is an apocalyptic number.

6081207920400 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 6081207920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10009131499584).

6081207920400 is an abundant number, since it is smaller than the sum of its proper divisors (13937055078768).

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

6081207920400 is a wasteful number, since it uses less digits than its factorization.

6081207920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390290 (or 390279 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 6081207920400 in words is "six trillion, eighty-one billion, two hundred seven million, nine hundred twenty thousand, four hundred".