7166876760 has 384 divisors, whose sum is σ = 25694323200. Its totient is φ = 1791590400.

The previous prime is 7166876737. The next prime is 7166876809. The reversal of 7166876760 is 676786617.

It is a happy number.

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 = 7166876697 and 7166876706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27886552 + ... + 27886808.

It is an arithmetic number, because the mean of its divisors is an integer number (66912300).

Almost surely, 2^7166876760 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 7166876760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847161600).

7166876760 is an abundant number, since it is smaller than the sum of its proper divisors (18527446440).

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

7166876760 is a wasteful number, since it uses less digits than its factorization.

7166876760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 7166876760 is about 84657.4081814462. The cubic root of 7166876760 is about 1928.0130929765.

The spelling of 7166876760 in words is "seven billion, one hundred sixty-six million, eight hundred seventy-six thousand, seven hundred sixty".