6340987237200 has 540 divisors, whose sum is σ = 25971949251360. Its totient is φ = 1317606259200.

The previous prime is 6340987237061. The next prime is 6340987237213. The reversal of 6340987237200 is 27327890436.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 107 ways as a sum of consecutive naturals, for example, 6669181 + ... + 7560419.

Almost surely, 2^{6340987237200} is an apocalyptic number.

6340987237200 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 6340987237200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985974625680).

6340987237200 is an abundant number, since it is smaller than the sum of its proper divisors (19630962014160).

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

6340987237200 is a wasteful number, since it uses less digits than its factorization.

6340987237200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891296 (or 891267 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 6340987237200 in words is "six trillion, three hundred forty billion, nine hundred eighty-seven million, two hundred thirty-seven thousand, two hundred".