4790354688 has 288 divisors, whose sum is σ = 16308830720. Its totient is φ = 1358622720.

The previous prime is 4790354663. The next prime is 4790354713. The reversal of 4790354688 is 8864530974.

4790354688 is a `hidden beast` number, since 4 + 7 + 90 + 3 + 546 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4790354663) and next prime (4790354713).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8757231 + ... + 8757777.

Almost surely, 2^4790354688 is an apocalyptic number.

4790354688 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 4790354688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154415360).

4790354688 is an abundant number, since it is smaller than the sum of its proper divisors (11518476032).

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

4790354688 is a wasteful number, since it uses less digits than its factorization.

4790354688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 4790354688 is about 69212.3882552827. The cubic root of 4790354688 is about 1685.7346880556.

The spelling of 4790354688 in words is "four billion, seven hundred ninety million, three hundred fifty-four thousand, six hundred eighty-eight".