4658359680 has 512 divisors, whose sum is σ = 18044208000. Its totient is φ = 1128923136.

The previous prime is 4658359663. The next prime is 4658359711. The reversal of 4658359680 is 869538564.

It is a happy number.

4658359680 is a `hidden beast` number, since 4 + 6 + 583 + 59 + 6 + 8 + 0 = 666.

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19992844 + ... + 19993076.

Almost surely, 2^4658359680 is an apocalyptic number.

4658359680 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 4658359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022104000).

4658359680 is an abundant number, since it is smaller than the sum of its proper divisors (13385848320).

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

4658359680 is a wasteful number, since it uses less digits than its factorization.

4658359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 4658359680 is about 68252.1771081333. The cubic root of 4658359680 is about 1670.1071656043.

The spelling of 4658359680 in words is "four billion, six hundred fifty-eight million, three hundred fifty-nine thousand, six hundred eighty".