216748984320 has 1536 divisors, whose sum is σ = 920844288000. Its totient is φ = 48173875200.

The previous prime is 216748984297. The next prime is 216748984343. The reversal of 216748984320 is 23489847612.

216748984320 is a `hidden beast` number, since 2 + 1 + 67 + 489 + 84 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (216748984297) and next prime (216748984343).

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 6991902705 + ... + 6991902735.

It is an arithmetic number, because the mean of its divisors is an integer number (599508000).

Almost surely, 2^216748984320 is an apocalyptic number.

216748984320 is a gapful number since it is divisible by the number (20) 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 216748984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460422144000).

216748984320 is an abundant number, since it is smaller than the sum of its proper divisors (704095303680).

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

216748984320 is a wasteful number, since it uses less digits than its factorization.

216748984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 216748984320 in words is "two hundred sixteen billion, seven hundred forty-eight million, nine hundred eighty-four thousand, three hundred twenty".