6001779326400 has 1344 divisors, whose sum is σ = 25801996899840. Its totient is φ = 1337919897600.

The previous prime is 6001779326371. The next prime is 6001779326429. The reversal of 6001779326400 is 46239771006.

6001779326400 is a `hidden beast` number, since 600 + 1 + 7 + 7 + 9 + 32 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6001779326371) and next prime (6001779326429).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1748259084 + ... + 1748262516.

It is an arithmetic number, because the mean of its divisors is an integer number (19197914360).

Almost surely, 2^{6001779326400} is an apocalyptic number.

6001779326400 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 6001779326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900998449920).

6001779326400 is an abundant number, since it is smaller than the sum of its proper divisors (19800217573440).

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

6001779326400 is a wasteful number, since it uses less digits than its factorization.

6001779326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 6001779326400 in words is "six trillion, one billion, seven hundred seventy-nine million, three hundred twenty-six thousand, four hundred".