4690318970880 has 1248 divisors, whose sum is σ = 17503310942208. Its totient is φ = 1203948748800.

The previous prime is 4690318970873. The next prime is 4690318970893. The reversal of 4690318970880 is 880798130964.

4690318970880 is a `hidden beast` number, since 469 + 0 + 3 + 1 + 8 + 97 + 0 + 8 + 80 = 666.

It is a super-3 number, since 3×4690318970880³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25913364390 + ... + 25913364570.

It is an arithmetic number, because the mean of its divisors is an integer number (14025088896).

Almost surely, 2^{4690318970880} is an apocalyptic number.

4690318970880 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 4690318970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8751655471104).

4690318970880 is an abundant number, since it is smaller than the sum of its proper divisors (12812991971328).

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

4690318970880 is a wasteful number, since it uses less digits than its factorization.

4690318970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 4690318970880 in words is "four trillion, six hundred ninety billion, three hundred eighteen million, nine hundred seventy thousand, eight hundred eighty".