4799146464 has 288 divisors, whose sum is σ = 16511040000. Its totient is φ = 1291686912.

The previous prime is 4799146447. The next prime is 4799146507. The reversal of 4799146464 is 4646419974.

4799146464 is a `hidden beast` number, since 479 + 91 + 46 + 46 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4799146464.

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, 13367917 + ... + 13368275.

It is an arithmetic number, because the mean of its divisors is an integer number (57330000).

Almost surely, 2^4799146464 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 4799146464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520000).

4799146464 is an abundant number, since it is smaller than the sum of its proper divisors (11711893536).

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

4799146464 is a wasteful number, since it uses less digits than its factorization.

4799146464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 739 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4799146464 is about 69275.8721634019. The cubic root of 4799146464 is about 1686.7653385454.

The spelling of 4799146464 in words is "four billion, seven hundred ninety-nine million, one hundred forty-six thousand, four hundred sixty-four".