6164761680 has 960 divisors, whose sum is σ = 28345614336. Its totient is φ = 1161216000.

The previous prime is 6164761667. The next prime is 6164761709. The reversal of 6164761680 is 861674616.

6164761680 is a `hidden beast` number, since 6 + 16 + 476 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29216775 + ... + 29216985.

Almost surely, 2^6164761680 is an apocalyptic number.

6164761680 is a gapful number since it is divisible by the number (60) 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 6164761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172807168).

6164761680 is an abundant number, since it is smaller than the sum of its proper divisors (22180852656).

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

6164761680 is a wasteful number, since it uses less digits than its factorization.

6164761680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6164761680 is about 78515.9963319577. The cubic root of 6164761680 is about 1833.6035060421.

The spelling of 6164761680 in words is "six billion, one hundred sixty-four million, seven hundred sixty-one thousand, six hundred eighty".