4887816929280 has 576 divisors, whose sum is σ = 17598848066280. Its totient is φ = 1303131193344.

The previous prime is 4887816929273. The next prime is 4887816929293. The reversal of 4887816929280 is 829296187884.

4887816929280 is a `hidden beast` number, since 488 + 7 + 8 + 1 + 69 + 2 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×4887816929280⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4887816929199 and 4887816929208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1074951967 + ... + 1074956513.

Almost surely, 2^{4887816929280} is an apocalyptic number.

4887816929280 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 4887816929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799424033140).

4887816929280 is an abundant number, since it is smaller than the sum of its proper divisors (12711031137000).

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

4887816929280 is an frugal number, since it uses more digits than its factorization.

4887816929280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 4887816929280 in words is "four trillion, eight hundred eighty-seven billion, eight hundred sixteen million, nine hundred twenty-nine thousand, two hundred eighty".