7834217878656 has 512 divisors, whose sum is σ = 25078467456000. Its totient is φ = 2393359073280.

The previous prime is 7834217878633. The next prime is 7834217878673. The reversal of 7834217878656 is 6568787124387.

7834217878656 is a `hidden beast` number, since 7 + 8 + 3 + 421 + 78 + 7 + 86 + 56 = 666.

It is a super-2 number, since 2×7834217878656² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4520609566 + ... + 4520611298.

It is an arithmetic number, because the mean of its divisors is an integer number (48981381750).

Almost surely, 2^{7834217878656} 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 7834217878656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539233728000).

7834217878656 is an abundant number, since it is smaller than the sum of its proper divisors (17244249577344).

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

7834217878656 is a wasteful number, since it uses less digits than its factorization.

7834217878656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2411 counting only the distinct ones).

The product of its digits is 758661120, while the sum is 72.

The spelling of 7834217878656 in words is "seven trillion, eight hundred thirty-four billion, two hundred seventeen million, eight hundred seventy-eight thousand, six hundred fifty-six".