4867024942080 has 1760 divisors, whose sum is σ = 20623283552256. Its totient is φ = 1074524258304.

The previous prime is 4867024942079. The next prime is 4867024942121. The reversal of 4867024942080 is 802494207684.

4867024942080 is a `hidden beast` number, since 4 + 8 + 6 + 70 + 2 + 494 + 2 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15853501287 + ... + 15853501593.

Almost surely, 2^{4867024942080} is an apocalyptic number.

4867024942080 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 4867024942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311641776128).

4867024942080 is an abundant number, since it is smaller than the sum of its proper divisors (15756258610176).

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

4867024942080 is a wasteful number, since it uses less digits than its factorization.

4867024942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4867024942080 in words is "four trillion, eight hundred sixty-seven billion, twenty-four million, nine hundred forty-two thousand, eighty".