4746982216320 has 768 divisors, whose sum is σ = 18013911552000. Its totient is φ = 1191183667200.

The previous prime is 4746982216297. The next prime is 4746982216349. The reversal of 4746982216320 is 236122896474.

It is a happy number.

4746982216320 is a `hidden beast` number, since 4 + 7 + 4 + 6 + 98 + 221 + 6 + 320 = 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 95 ways as a sum of consecutive naturals, for example, 446181561 + ... + 446192199.

It is an arithmetic number, because the mean of its divisors is an integer number (23455614000).

Almost surely, 2^{4746982216320} is an apocalyptic number.

4746982216320 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 4746982216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006955776000).

4746982216320 is an abundant number, since it is smaller than the sum of its proper divisors (13266929335680).

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

4746982216320 is a wasteful number, since it uses less digits than its factorization.

4746982216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10843 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4746982216320 in words is "four trillion, seven hundred forty-six billion, nine hundred eighty-two million, two hundred sixteen thousand, three hundred twenty".