7646061502464 has 224 divisors, whose sum is σ = 25419126744576. Its totient is φ = 1985989509120.

The previous prime is 7646061502447. The next prime is 7646061502489. The reversal of 7646061502464 is 4642051606467.

It is a tau number, because it is divible by the number of its divisors (224).

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, 127902 + ... + 3912605.

Almost surely, 2^{7646061502464} 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 7646061502464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12709563372288).

7646061502464 is an abundant number, since it is smaller than the sum of its proper divisors (17773065242112).

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

7646061502464 is a wasteful number, since it uses less digits than its factorization.

7646061502464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040554 (or 4040530 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 7646061502464 in words is "seven trillion, six hundred forty-six billion, sixty-one million, five hundred two thousand, four hundred sixty-four".