6145346760240 has 40 divisors (see below), whose sum is σ = 19050574957488. Its totient is φ = 1638759136000.

The previous prime is 6145346760239. The next prime is 6145346760247. The reversal of 6145346760240 is 420676435416.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6145346760240.

It is not an unprimeable number, because it can be changed into a prime (6145346760247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12802805511 + ... + 12802805990.

Almost surely, 2^{6145346760240} is an apocalyptic number.

6145346760240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6145346760240 is an abundant number, since it is smaller than the sum of its proper divisors (12905228197248).

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

6145346760240 is a wasteful number, since it uses less digits than its factorization.

6145346760240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25605611517 (or 25605611511 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 6145346760240 in words is "six trillion, one hundred forty-five billion, three hundred forty-six million, seven hundred sixty thousand, two hundred forty".