7646417197866 has 128 divisors (see below), whose sum is σ = 18598114713600. Its totient is φ = 2319707859840.

The previous prime is 7646417197843. The next prime is 7646417197889. The reversal of 7646417197866 is 6687917146467.

7646417197866 is a `hidden beast` number, since 7 + 6 + 46 + 417 + 1 + 97 + 86 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7646417197843) and next prime (7646417197889).

It is a junction number, because it is equal to n+sod(n) for n = 7646417197794 and 7646417197803.

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, 3480021 + ... + 5234823.

It is an arithmetic number, because the mean of its divisors is an integer number (145297771200).

Almost surely, 2^{7646417197866} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7646417197866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9299057356800).

7646417197866 is an abundant number, since it is smaller than the sum of its proper divisors (10951697515734).

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

7646417197866 is a wasteful number, since it uses less digits than its factorization.

7646417197866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755001 (or 1754995 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 7646417197866 in words is "seven trillion, six hundred forty-six billion, four hundred seventeen million, one hundred ninety-seven thousand, eight hundred sixty-six".