4946284721664 has 640 divisors, whose sum is σ = 17601348441600. Its totient is φ = 1351376732160.

The previous prime is 4946284721659. The next prime is 4946284721669. The reversal of 4946284721664 is 4661274826494.

4946284721664 is a `hidden beast` number, since 4 + 9 + 462 + 8 + 4 + 7 + 2 + 166 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4946284721659) and next prime (4946284721669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4946284721669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84974682 + ... + 85032870.

It is an arithmetic number, because the mean of its divisors is an integer number (27502106940).

Almost surely, 2^{4946284721664} is an apocalyptic number.

4946284721664 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 4946284721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8800674220800).

4946284721664 is an abundant number, since it is smaller than the sum of its proper divisors (12655063719936).

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

4946284721664 is a wasteful number, since it uses less digits than its factorization.

4946284721664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58283 (or 58261 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 4946284721664 in words is "four trillion, nine hundred forty-six billion, two hundred eighty-four million, seven hundred twenty-one thousand, six hundred sixty-four".