7795219328064 has 189 divisors, whose sum is σ = 25993085646567. Its totient is φ = 2227071506688.

The previous prime is 7795219328059. The next prime is 7795219328107. The reversal of 7795219328064 is 4608239125977.

The square root of 7795219328064 is 2791992.

It is a perfect power (a square), and thus also a powerful number.

7795219328064 is a `hidden beast` number, since 7 + 7 + 95 + 219 + 328 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 7795219327992 and 7795219328010.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 469046347 + ... + 469062965.

It is a 1-persistent number, because it is pandigital, but 2⋅7795219328064 = 15590438656128 is not.

Almost surely, 2^{7795219328064} is an apocalyptic number.

7795219328064 is the 2791992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7795219328064

7795219328064 is an abundant number, since it is smaller than the sum of its proper divisors (18197866318503).

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

7795219328064 is an frugal number, since it uses more digits than its factorization.

7795219328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33270 (or 16631 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 7795219328064 in words is "seven trillion, seven hundred ninety-five billion, two hundred nineteen million, three hundred twenty-eight thousand, sixty-four".