4652467680 has 576 divisors, whose sum is σ = 18615744000. Its totient is φ = 970002432.

The previous prime is 4652467679. The next prime is 4652467717. The reversal of 4652467680 is 867642564.

It is a Cunningham number, because it is equal to 68209²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12959341 + ... + 12959699.

It is an arithmetic number, because the mean of its divisors is an integer number (32319000).

Almost surely, 2^4652467680 is an apocalyptic number.

4652467680 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 4652467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872000).

4652467680 is an abundant number, since it is smaller than the sum of its proper divisors (13963276320).

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

4652467680 is a wasteful number, since it uses less digits than its factorization.

4652467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 4652467680 is about 68208.9999926696. Note that the first 5 decimals coincide. The cubic root of 4652467680 is about 1669.4027385994.

The spelling of 4652467680 in words is "four billion, six hundred fifty-two million, four hundred sixty-seven thousand, six hundred eighty".