7695457648704 has 840 divisors, whose sum is σ = 27586823647680. Its totient is φ = 2112397056000.

The previous prime is 7695457648699. The next prime is 7695457648757. The reversal of 7695457648704 is 4078467545967.

7695457648704 is a `hidden beast` number, since 7 + 6 + 9 + 5 + 4 + 576 + 48 + 7 + 0 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1554321429 + ... + 1554326379.

Almost surely, 2^{7695457648704} 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 7695457648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13793411823840).

7695457648704 is an abundant number, since it is smaller than the sum of its proper divisors (19891365998976).

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

7695457648704 is a wasteful number, since it uses less digits than its factorization.

7695457648704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 7695457648704 in words is "seven trillion, six hundred ninety-five billion, four hundred fifty-seven million, six hundred forty-eight thousand, seven hundred four".