7957645460064 has 240 divisors, whose sum is σ = 23483894353920. Its totient is φ = 2643416052480.

The previous prime is 7957645460041. The next prime is 7957645460113. The reversal of 7957645460064 is 4600645467597.

7957645460064 is a `hidden beast` number, since 7 + 9 + 5 + 76 + 45 + 460 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7957645459983 and 7957645460010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1633675549 + ... + 1633680419.

It is an arithmetic number, because the mean of its divisors is an integer number (97849559808).

Almost surely, 2^{7957645460064} 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 7957645460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741947176960).

7957645460064 is an abundant number, since it is smaller than the sum of its proper divisors (15526248893856).

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

7957645460064 is a wasteful number, since it uses less digits than its factorization.

7957645460064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 7957645460064 in words is "seven trillion, nine hundred fifty-seven billion, six hundred forty-five million, four hundred sixty thousand, sixty-four".