4619659680 has 288 divisors, whose sum is σ = 16378951680. Its totient is φ = 1184440320.

The previous prime is 4619659669. The next prime is 4619659697. The reversal of 4619659680 is 869569164.

It is a happy number.

4619659680 is a `hidden beast` number, since 46 + 1 + 9 + 6 + 596 + 8 + 0 = 666.

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

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, 10668744 + ... + 10669176.

It is an arithmetic number, because the mean of its divisors is an integer number (56871360).

Almost surely, 2^4619659680 is an apocalyptic number.

4619659680 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 4619659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

4619659680 is an abundant number, since it is smaller than the sum of its proper divisors (11759292000).

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

4619659680 is a wasteful number, since it uses less digits than its factorization.

4619659680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4619659680 is about 67968.0783897853. The cubic root of 4619659680 is about 1665.4694128671.

The spelling of 4619659680 in words is "four billion, six hundred nineteen million, six hundred fifty-nine thousand, six hundred eighty".