6501943740240 has 640 divisors, whose sum is σ = 25021773504000. Its totient is φ = 1540843831296.

The previous prime is 6501943740221. The next prime is 6501943740307. The reversal of 6501943740240 is 420473491056.

6501943740240 is a `hidden beast` number, since 6 + 50 + 194 + 3 + 7 + 402 + 4 + 0 = 666.

It is a super-2 number, since 2×6501943740240² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287443651 + ... + 287466269.

It is an arithmetic number, because the mean of its divisors is an integer number (39096521100).

Almost surely, 2^{6501943740240} is an apocalyptic number.

6501943740240 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 6501943740240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12510886752000).

6501943740240 is an abundant number, since it is smaller than the sum of its proper divisors (18519829763760).

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

6501943740240 is a wasteful number, since it uses less digits than its factorization.

6501943740240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23036 (or 23024 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6501943740240 in words is "six trillion, five hundred one billion, nine hundred forty-three million, seven hundred forty thousand, two hundred forty".