4967282880 has 420 divisors, whose sum is σ = 20559570768. Its totient is φ = 1135088640.

The previous prime is 4967282869. The next prime is 4967282897. The reversal of 4967282880 is 882827694.

4967282880 is a `hidden beast` number, since 496 + 72 + 8 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1268125 + ... + 1272035.

Almost surely, 2^4967282880 is an apocalyptic number.

4967282880 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 4967282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10279785384).

4967282880 is an abundant number, since it is smaller than the sum of its proper divisors (15592287888).

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

4967282880 is a wasteful number, since it uses less digits than its factorization.

4967282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4967282880 is about 70478.9534542050. The cubic root of 4967282880 is about 1706.2380827570.

The spelling of 4967282880 in words is "four billion, nine hundred sixty-seven million, two hundred eighty-two thousand, eight hundred eighty".