4656960696564 has 216 divisors, whose sum is σ = 13936980177120. Its totient is φ = 1305834203520.

The previous prime is 4656960696539. The next prime is 4656960696571.

4656960696564 is a `hidden beast` number, since 4 + 6 + 5 + 6 + 9 + 606 + 9 + 6 + 5 + 6 + 4 = 666.

4656960696564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4656960696492 and 4656960696501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2904574 + ... + 4213130.

Almost surely, 2^{4656960696564} is an apocalyptic number.

4656960696564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656960696564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968490088560).

4656960696564 is an abundant number, since it is smaller than the sum of its proper divisors (9280019480556).

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

4656960696564 is a wasteful number, since it uses less digits than its factorization.

4656960696564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308651 (or 1308635 counting only the distinct ones).

The product of its (nonzero) digits is 1511654400, while the sum is 72.

The spelling of 4656960696564 in words is "four trillion, six hundred fifty-six billion, nine hundred sixty million, six hundred ninety-six thousand, five hundred sixty-four".