4870077696 has 324 divisors, whose sum is σ = 16030568736. Its totient is φ = 1473500160.

The previous prime is 4870077673. The next prime is 4870077697. The reversal of 4870077696 is 6967700784.

4870077696 is a `hidden beast` number, since 487 + 0 + 0 + 7 + 76 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

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 (4870077697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7526845 + ... + 7527491.

It is an arithmetic number, because the mean of its divisors is an integer number (49477064).

Almost surely, 2^4870077696 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 4870077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015284368).

4870077696 is an abundant number, since it is smaller than the sum of its proper divisors (11160491040).

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

4870077696 is an equidigital number, since it uses as much as digits as its factorization.

4870077696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 663 counting only the distinct ones).

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

The square root of 4870077696 is about 69785.9419654131. The cubic root of 4870077696 is about 1695.0348430460.

The spelling of 4870077696 in words is "four billion, eight hundred seventy million, seventy-seven thousand, six hundred ninety-six".