6007350666240 has 2112 divisors, whose sum is σ = 27313155717120. Its totient is φ = 1229747650560.

The previous prime is 6007350666227. The next prime is 6007350666241. The reversal of 6007350666240 is 426660537006.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6007350666241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6993422931 + ... + 6993423789.

Almost surely, 2^{6007350666240} is an apocalyptic number.

6007350666240 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 6007350666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656577858560).

6007350666240 is an abundant number, since it is smaller than the sum of its proper divisors (21305805050880).

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

6007350666240 is a wasteful number, since it uses less digits than its factorization.

6007350666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 6007350666240 in words is "six trillion, seven billion, three hundred fifty million, six hundred sixty-six thousand, two hundred forty".