6067861880400 has 480 divisors, whose sum is σ = 22958948092800. Its totient is φ = 1517750784000.

The previous prime is 6067861880359. The next prime is 6067861880461. The reversal of 6067861880400 is 40881687606.

It is a super-2 number, since 2×6067861880400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20578812 + ... + 20871588.

It is an arithmetic number, because the mean of its divisors is an integer number (47831141860).

Almost surely, 2^{6067861880400} is an apocalyptic number.

6067861880400 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 6067861880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479474046400).

6067861880400 is an abundant number, since it is smaller than the sum of its proper divisors (16891086212400).

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

6067861880400 is a wasteful number, since it uses less digits than its factorization.

6067861880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292924 (or 292907 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 6067861880400 in words is "six trillion, sixty-seven billion, eight hundred sixty-one million, eight hundred eighty thousand, four hundred".