4644862215840 has 1152 divisors, whose sum is σ = 20527879680000. Its totient is φ = 960165550080.

The previous prime is 4644862215803. The next prime is 4644862215853. The reversal of 4644862215840 is 485122684464.

4644862215840 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 8 + 622 + 1 + 5 + 8 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 728145771 + ... + 728152149.

It is an arithmetic number, because the mean of its divisors is an integer number (17819340000).

Almost surely, 2^{4644862215840} is an apocalyptic number.

4644862215840 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 4644862215840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10263939840000).

4644862215840 is an abundant number, since it is smaller than the sum of its proper divisors (15883017464160).

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

4644862215840 is a wasteful number, since it uses less digits than its factorization.

4644862215840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 4644862215840 in words is "four trillion, six hundred forty-four billion, eight hundred sixty-two million, two hundred fifteen thousand, eight hundred forty".