7671757067064 has 128 divisors (see below), whose sum is σ = 21807612288000. Its totient is φ = 2497599885312.

The previous prime is 7671757067059. The next prime is 7671757067111. The reversal of 7671757067064 is 4607607571767.

It is a junction number, because it is equal to n+sod(n) for n = 7671757066992 and 7671757067010.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 198530257 + ... + 198568895.

It is an arithmetic number, because the mean of its divisors is an integer number (170371971000).

Almost surely, 2^{7671757067064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7671757067064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10903806144000).

7671757067064 is an abundant number, since it is smaller than the sum of its proper divisors (14135855220936).

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

7671757067064 is a wasteful number, since it uses less digits than its factorization.

7671757067064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60074 (or 60064 counting only the distinct ones).

The product of its (nonzero) digits is 72606240, while the sum is 63.

The spelling of 7671757067064 in words is "seven trillion, six hundred seventy-one billion, seven hundred fifty-seven million, sixty-seven thousand, sixty-four".