2468716832736 has 768 divisors, whose sum is σ = 9150428528640. Its totient is φ = 628943616000.

The previous prime is 2468716832717. The next prime is 2468716832749. The reversal of 2468716832736 is 6372386178642.

2468716832736 is a `hidden beast` number, since 2 + 46 + 87 + 168 + 327 + 36 = 666.

It is a super-5 number, since 5×2468716832736⁵ (a number of 63 digits) contains 55555 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 996654730 + ... + 996657206.

It is an arithmetic number, because the mean of its divisors is an integer number (11914620480).

Almost surely, 2^{2468716832736} 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 2468716832736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575214264320).

2468716832736 is an abundant number, since it is smaller than the sum of its proper divisors (6681711695904).

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

2468716832736 is a wasteful number, since it uses less digits than its factorization.

2468716832736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2782 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 2468716832736 in words is "two trillion, four hundred sixty-eight billion, seven hundred sixteen million, eight hundred thirty-two thousand, seven hundred thirty-six".