926876256768 has 480 divisors, whose sum is σ = 3352114022400. Its totient is φ = 239519047680.

The previous prime is 926876256653. The next prime is 926876256769. The reversal of 926876256768 is 867652678629.

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

It is a junction number, because it is equal to n+sod(n) for n = 926876256696 and 926876256705.

It is not an unprimeable number, because it can be changed into a prime (926876256769) 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, 70601821 + ... + 70614947.

It is an arithmetic number, because the mean of its divisors is an integer number (6983570880).

Almost surely, 2^926876256768 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 926876256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676057011200).

926876256768 is an abundant number, since it is smaller than the sum of its proper divisors (2425237765632).

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

926876256768 is a wasteful number, since it uses less digits than its factorization.

926876256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13368 (or 13349 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 926876256768 in words is "nine hundred twenty-six billion, eight hundred seventy-six million, two hundred fifty-six thousand, seven hundred sixty-eight".