7726894560 has 1152 divisors, whose sum is σ = 35663846400. Its totient is φ = 1532805120.

The previous prime is 7726894547. The next prime is 7726894561. The reversal of 7726894560 is 654986277.

7726894560 is a `hidden beast` number, since 7 + 72 + 6 + 8 + 9 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7726894497 and 7726894506.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2670 × 1218 × 2376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7726894561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86818996 + ... + 86819084.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 2^7726894560 is an apocalyptic number.

7726894560 is a gapful number since it is divisible by the number (70) 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 7726894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831923200).

7726894560 is an abundant number, since it is smaller than the sum of its proper divisors (27936951840).

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

7726894560 is a wasteful number, since it uses less digits than its factorization.

7726894560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7726894560 is about 87902.7562707791. The cubic root of 7726894560 is about 1976.9772057398.

The spelling of 7726894560 in words is "seven billion, seven hundred twenty-six million, eight hundred ninety-four thousand, five hundred sixty".