4861649782080 has 2240 divisors, whose sum is σ = 22692136642560. Its totient is φ = 959324995584.

The previous prime is 4861649782079. The next prime is 4861649782081. The reversal of 4861649782080 is 802879461684.

4861649782080 is a `hidden beast` number, since 4 + 8 + 61 + 6 + 497 + 8 + 2 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4861649782079) and next prime (4861649782081).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×4861649782080² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4861649781999 and 4861649782017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861649782081) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3719700787 + ... + 3719702093.

It is an arithmetic number, because the mean of its divisors is an integer number (10130418144).

Almost surely, 2^{4861649782080} is an apocalyptic number.

4861649782080 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 4861649782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11346068321280).

4861649782080 is an abundant number, since it is smaller than the sum of its proper divisors (17830486860480).

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

4861649782080 is a wasteful number, since it uses less digits than its factorization.

4861649782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 4861649782080 in words is "four trillion, eight hundred sixty-one billion, six hundred forty-nine million, seven hundred eighty-two thousand, eighty".