7830691325064 has 160 divisors (see below), whose sum is σ = 22088317680000. Its totient is φ = 2591781176448.

The previous prime is 7830691325057. The next prime is 7830691325153. The reversal of 7830691325064 is 4605231960387.

7830691325064 is a `hidden beast` number, since 7 + 8 + 306 + 9 + 1 + 325 + 0 + 6 + 4 = 666.

It is a super-3 number, since 3×7830691325064³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7830691325064.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 301132687 + ... + 301158689.

It is an arithmetic number, because the mean of its divisors is an integer number (138051985500).

It is a 1-persistent number, because it is pandigital, but 2⋅7830691325064 = 15661382650128 is not.

Almost surely, 2^{7830691325064} 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 7830691325064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11044158840000).

7830691325064 is an abundant number, since it is smaller than the sum of its proper divisors (14257626354936).

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

7830691325064 is a wasteful number, since it uses less digits than its factorization.

7830691325064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29289 (or 29276 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 7830691325064 in words is "seven trillion, eight hundred thirty billion, six hundred ninety-one million, three hundred twenty-five thousand, sixty-four".