7726842693792 has 144 divisors (see below), whose sum is σ = 22425171874560. Its totient is φ = 2522947660800.

The previous prime is 7726842693749. The next prime is 7726842693809. The reversal of 7726842693792 is 2973962486277.

7726842693792 is a `hidden beast` number, since 7 + 7 + 26 + 8 + 426 + 93 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7726842693792² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7726842693792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3965617 + ... + 5583887.

It is an arithmetic number, because the mean of its divisors is an integer number (155730360240).

Almost surely, 2^{7726842693792} is an apocalyptic number.

7726842693792 is a gapful number since it is divisible by the number (72) 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 7726842693792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11212585937280).

7726842693792 is an abundant number, since it is smaller than the sum of its proper divisors (14698329180768).

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

7726842693792 is a wasteful number, since it uses less digits than its factorization.

7726842693792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618627 (or 1618616 counting only the distinct ones).

The product of its digits is 768144384, while the sum is 72.

The spelling of 7726842693792 in words is "seven trillion, seven hundred twenty-six billion, eight hundred forty-two million, six hundred ninety-three thousand, seven hundred ninety-two".