4262623617816 has 720 divisors, whose sum is σ = 13356816913440. Its totient is φ = 1269262794240.

The previous prime is 4262623617781. The next prime is 4262623617817. The reversal of 4262623617816 is 6187163262624.

4262623617816 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 6 + 2 + 3 + 617 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4262623617817) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9246471826 + ... + 9246472286.

It is an arithmetic number, because the mean of its divisors is an integer number (18551134602).

Almost surely, 2^{4262623617816} 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 4262623617816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678408456720).

4262623617816 is an abundant number, since it is smaller than the sum of its proper divisors (9094193295624).

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

4262623617816 is a wasteful number, since it uses less digits than its factorization.

4262623617816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 561 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 4262623617816 in words is "four trillion, two hundred sixty-two billion, six hundred twenty-three million, six hundred seventeen thousand, eight hundred sixteen".