4622680564992 has 720 divisors, whose sum is σ = 16705410543360. Its totient is φ = 1241166053376.

The previous prime is 4622680564991. The next prime is 4622680565023. The reversal of 4622680564992 is 2994650862264.

4622680564992 is a `hidden beast` number, since 4 + 6 + 2 + 2 + 68 + 0 + 564 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4622680564991) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2460180309 + ... + 2460182187.

It is an arithmetic number, because the mean of its divisors is an integer number (23201959088).

Almost surely, 2^{4622680564992} is an apocalyptic number.

4622680564992 is a gapful number since it is divisible by the number (42) 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 4622680564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352705271680).

4622680564992 is an abundant number, since it is smaller than the sum of its proper divisors (12082729978368).

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

4622680564992 is a wasteful number, since it uses less digits than its factorization.

4622680564992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 4622680564992 in words is "four trillion, six hundred twenty-two billion, six hundred eighty million, five hundred sixty-four thousand, nine hundred ninety-two".