6731372087040 has 144 divisors (see below), whose sum is σ = 21500846121888. Its totient is φ = 1794821603328.

The previous prime is 6731372087009. The next prime is 6731372087051. The reversal of 6731372087040 is 407802731376.

It is a super-2 number, since 2×6731372087040² (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 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 15 ways as a sum of consecutive naturals, for example, 34050562 + ... + 34247678.

It is an arithmetic number, because the mean of its divisors is an integer number (149311431402).

Almost surely, 2^{6731372087040} is an apocalyptic number.

6731372087040 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 6731372087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750423060944).

6731372087040 is an abundant number, since it is smaller than the sum of its proper divisors (14769474034848).

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

6731372087040 is a wasteful number, since it uses less digits than its factorization.

6731372087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206034 (or 206020 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 6731372087040 in words is "six trillion, seven hundred thirty-one billion, three hundred seventy-two million, eighty-seven thousand, forty".