6281812992000 has 1792 divisors, whose sum is σ = 26874855641088. Its totient is φ = 1266470092800.

The previous prime is 6281812991989. The next prime is 6281812992001. The reversal of 6281812992000 is 2992181826.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×6281812992000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6281812992001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6429695512 + ... + 6429696488.

It is an arithmetic number, because the mean of its divisors is an integer number (14997129264).

Almost surely, 2^{6281812992000} is an apocalyptic number.

6281812992000 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 6281812992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13437427820544).

6281812992000 is an abundant number, since it is smaller than the sum of its proper divisors (20593042649088).

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

6281812992000 is a wasteful number, since it uses less digits than its factorization.

6281812992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 6281812992000 in words is "six trillion, two hundred eighty-one billion, eight hundred twelve million, nine hundred ninety-two thousand".