4861329707520 has 1920 divisors, whose sum is σ = 20741894933760. Its totient is φ = 1035990466560.

The previous prime is 4861329707519. The next prime is 4861329707539. The reversal of 4861329707520 is 257079231684.

It is a happy number.

4861329707520 is a `hidden beast` number, since 4 + 86 + 1 + 32 + 9 + 7 + 0 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7930390734 + ... + 7930391346.

It is an arithmetic number, because the mean of its divisors is an integer number (10803070278).

It is a 1-persistent number, because it is pandigital, but 2⋅4861329707520 = 9722659415040 is not.

Almost surely, 2^{4861329707520} is an apocalyptic number.

4861329707520 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 4861329707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370947466880).

4861329707520 is an abundant number, since it is smaller than the sum of its proper divisors (15880565226240).

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

4861329707520 is a wasteful number, since it uses less digits than its factorization.

4861329707520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4861329707520 in words is "four trillion, eight hundred sixty-one billion, three hundred twenty-nine million, seven hundred seven thousand, five hundred twenty".