82769624672256 has 576 divisors, whose sum is σ = 254584386201600. Its totient is φ = 26855080132608.

The previous prime is 82769624672123. The next prime is 82769624672257. The reversal of 82769624672256 is 65227642696728.

82769624672256 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 96 + 2 + 467 + 22 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×82769624672256² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (82769624672257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3349764030 + ... + 3349788738.

It is an arithmetic number, because the mean of its divisors is an integer number (441986781600).

Almost surely, 2^{82769624672256} 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 82769624672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127292193100800).

82769624672256 is an abundant number, since it is smaller than the sum of its proper divisors (171814761529344).

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

82769624672256 is a wasteful number, since it uses less digits than its factorization.

82769624672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24926 (or 24894 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 82769624672256 in words is "eighty-two trillion, seven hundred sixty-nine billion, six hundred twenty-four million, six hundred seventy-two thousand, two hundred fifty-six".