4692761568 has 288 divisors, whose sum is σ = 15302431872. Its totient is φ = 1402790400.

The previous prime is 4692761561. The next prime is 4692761573. The reversal of 4692761568 is 8651672964.

4692761568 is a `hidden beast` number, since 4 + 6 + 9 + 2 + 76 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4692761568² = 44044022268195637248, which contains 22 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 not an unprimeable number, because it can be changed into a prime (4692761561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7099158 + ... + 7099818.

It is an arithmetic number, because the mean of its divisors is an integer number (53133444).

Almost surely, 2^4692761568 is an apocalyptic number.

4692761568 is a gapful number since it is divisible by the number (48) 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 4692761568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7651215936).

4692761568 is an abundant number, since it is smaller than the sum of its proper divisors (10609670304).

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

4692761568 is a wasteful number, since it uses less digits than its factorization.

4692761568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 760 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 4692761568 is about 68503.7339712223. The cubic root of 4692761568 is about 1674.2083218601.

The spelling of 4692761568 in words is "four billion, six hundred ninety-two million, seven hundred sixty-one thousand, five hundred sixty-eight".