4649412960 has 480 divisors, whose sum is σ = 17782934400. Its totient is φ = 1139539968.

The previous prime is 4649412959. The next prime is 4649412961. The reversal of 4649412960 is 692149464.

4649412960 is a `hidden beast` number, since 464 + 9 + 4 + 129 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4649412959) and next prime (4649412961).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4649412961) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10354816 + ... + 10355264.

It is an arithmetic number, because the mean of its divisors is an integer number (37047780).

Almost surely, 2^4649412960 is an apocalyptic number.

4649412960 is a gapful number since it is divisible by the number (40) 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 4649412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8891467200).

4649412960 is an abundant number, since it is smaller than the sum of its proper divisors (13133521440).

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

4649412960 is a wasteful number, since it uses less digits than its factorization.

4649412960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4649412960 is about 68186.6039629486. The cubic root of 4649412960 is about 1669.0372927915.

The spelling of 4649412960 in words is "four billion, six hundred forty-nine million, four hundred twelve thousand, nine hundred sixty".