7605493918464 has 144 divisors (see below), whose sum is σ = 21801805041632. Its totient is φ = 2339825025024.

The previous prime is 7605493918441. The next prime is 7605493918523. The reversal of 7605493918464 is 4648193945067.

It is a junction number, because it is equal to n+sod(n) for n = 7605493918395 and 7605493918404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76997172 + ... + 77095884.

Almost surely, 2^{7605493918464} 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 7605493918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900902520816).

7605493918464 is an abundant number, since it is smaller than the sum of its proper divisors (14196311123168).

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

7605493918464 is a wasteful number, since it uses less digits than its factorization.

7605493918464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106462 (or 106448 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 7605493918464 in words is "seven trillion, six hundred five billion, four hundred ninety-three million, nine hundred eighteen thousand, four hundred sixty-four".