4611784826880 has 1792 divisors, whose sum is σ = 21113844203520. Its totient is φ = 926849433600.

The previous prime is 4611784826867. The next prime is 4611784826921. The reversal of 4611784826880 is 886284871164.

4611784826880 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 78 + 482 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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 127 ways as a sum of consecutive naturals, for example, 2639830167 + ... + 2639831913.

Almost surely, 2^{4611784826880} is an apocalyptic number.

4611784826880 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 4611784826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10556922101760).

4611784826880 is an abundant number, since it is smaller than the sum of its proper divisors (16502059376640).

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

4611784826880 is a wasteful number, since it uses less digits than its factorization.

4611784826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 4611784826880 in words is "four trillion, six hundred eleven billion, seven hundred eighty-four million, eight hundred twenty-six thousand, eight hundred eighty".