4987946880 has 768 divisors, whose sum is σ = 21996748800. Its totient is φ = 1013907456.

The previous prime is 4987946879. The next prime is 4987946891. The reversal of 4987946880 is 886497894.

4987946880 is a `hidden beast` number, since 4 + 98 + 7 + 9 + 468 + 80 = 666.

It is a super-2 number, since 2×4987946880² = 49759228155403468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 13023169 + ... + 13023551.

It is an arithmetic number, because the mean of its divisors is an integer number (28641600).

Almost surely, 2^4987946880 is an apocalyptic number.

4987946880 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 4987946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998374400).

4987946880 is an abundant number, since it is smaller than the sum of its proper divisors (17008801920).

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

4987946880 is a wasteful number, since it uses less digits than its factorization.

4987946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The square root of 4987946880 is about 70625.3982643638. The cubic root of 4987946880 is about 1708.6008047485.

The spelling of 4987946880 in words is "four billion, nine hundred eighty-seven million, nine hundred forty-six thousand, eight hundred eighty".