4918863937680 has 2400 divisors, whose sum is σ = 22266524636928. Its totient is φ = 1003220951040.

The previous prime is 4918863937651. The next prime is 4918863937693. The reversal of 4918863937680 is 867393688194.

4918863937680 is a `hidden beast` number, since 4 + 9 + 18 + 86 + 393 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4918863937599 and 4918863937608.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 43529769304 + ... + 43529769416.

Almost surely, 2^{4918863937680} is an apocalyptic number.

4918863937680 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 4918863937680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11133262318464).

4918863937680 is an abundant number, since it is smaller than the sum of its proper divisors (17347660699248).

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

4918863937680 is a wasteful number, since it uses less digits than its factorization.

4918863937680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 4918863937680 in words is "four trillion, nine hundred eighteen billion, eight hundred sixty-three million, nine hundred thirty-seven thousand, six hundred eighty".