4956642662664 has 256 divisors, whose sum is σ = 15659839641600. Its totient is φ = 1269997056000.

The previous prime is 4956642662623. The next prime is 4956642662681. The reversal of 4956642662664 is 4662662466594.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4956642662595 and 4956642662604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45670864 + ... + 45779264.

It is an arithmetic number, because the mean of its divisors is an integer number (61171248600).

Almost surely, 2^{4956642662664} is an apocalyptic number.

4956642662664 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 4956642662664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7829919820800).

4956642662664 is an abundant number, since it is smaller than the sum of its proper divisors (10703196978936).

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

4956642662664 is a wasteful number, since it uses less digits than its factorization.

4956642662664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108764 (or 108760 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 66.

The spelling of 4956642662664 in words is "four trillion, nine hundred fifty-six billion, six hundred forty-two million, six hundred sixty-two thousand, six hundred sixty-four".