7166734848 has 560 divisors, whose sum is σ = 26549092416. Its totient is φ = 1881169920.

The previous prime is 7166734847. The next prime is 7166734859. The reversal of 7166734848 is 8484376617.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7166734794 and 7166734803.

It is not an unprimeable number, because it can be changed into a prime (7166734843) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33965463 + ... + 33965673.

Almost surely, 2^7166734848 is an apocalyptic number.

7166734848 is a gapful number since it is divisible by the number (78) 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 7166734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13274546208).

7166734848 is an abundant number, since it is smaller than the sum of its proper divisors (19382357568).

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

7166734848 is an equidigital number, since it uses as much as digits as its factorization.

7166734848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 236 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 7166734848 is about 84656.5700226509. The cubic root of 7166734848 is about 1928.0003673031. Note that the first 3 decimals are identical.

The spelling of 7166734848 in words is "seven billion, one hundred sixty-six million, seven hundred thirty-four thousand, eight hundred forty-eight".