4166971776 has 384 divisors, whose sum is σ = 14301705600. Its totient is φ = 1194393600.

The previous prime is 4166971763. The next prime is 4166971789. The reversal of 4166971776 is 6771796614.

4166971776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4166971763) and next prime (4166971789).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×4166971776³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6500416 + ... + 6501056.

It is an arithmetic number, because the mean of its divisors is an integer number (37244025).

Almost surely, 2^4166971776 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 4166971776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150852800).

4166971776 is an abundant number, since it is smaller than the sum of its proper divisors (10134733824).

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

4166971776 is a wasteful number, since it uses less digits than its factorization.

4166971776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 676 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 4166971776 is about 64552.0857602603. The cubic root of 4166971776 is about 1609.1882506937.

The spelling of 4166971776 in words is "four billion, one hundred sixty-six million, nine hundred seventy-one thousand, seven hundred seventy-six".