4716602880 has 320 divisors, whose sum is σ = 16989198336. Its totient is φ = 1105920000.

The previous prime is 4716602879. The next prime is 4716602929. The reversal of 4716602880 is 882066174.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2617980 + ... + 2619780.

Almost surely, 2^4716602880 is an apocalyptic number.

4716602880 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 4716602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494599168).

4716602880 is an abundant number, since it is smaller than the sum of its proper divisors (12272595456).

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

4716602880 is a wasteful number, since it uses less digits than its factorization.

4716602880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 4716602880 is about 68677.5282024623. The cubic root of 4716602880 is about 1677.0387744388.

The spelling of 4716602880 in words is "four billion, seven hundred sixteen million, six hundred two thousand, eight hundred eighty".