6507674052000 has 768 divisors, whose sum is σ = 24659002368000. Its totient is φ = 1482786816000.

The previous prime is 6507674051987. The next prime is 6507674052007. The reversal of 6507674052000 is 2504767056.

It is not an unprimeable number, because it can be changed into a prime (6507674052007) 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 127 ways as a sum of consecutive naturals, for example, 2169946501 + ... + 2169949499.

It is an arithmetic number, because the mean of its divisors is an integer number (32108076000).

Almost surely, 2^{6507674052000} is an apocalyptic number.

6507674052000 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 6507674052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329501184000).

6507674052000 is an abundant number, since it is smaller than the sum of its proper divisors (18151328316000).

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

6507674052000 is a wasteful number, since it uses less digits than its factorization.

6507674052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 6507674052000 in words is "six trillion, five hundred seven billion, six hundred seventy-four million, fifty-two thousand".