216741856320 has 896 divisors, whose sum is σ = 889692180480. Its totient is φ = 49089576960.

The previous prime is 216741856313. The next prime is 216741856327. The reversal of 216741856320 is 23658147612.

216741856320 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 4 + 1 + 8 + 5 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216741856313) and next prime (216741856327).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (216741856327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 263355429 + ... + 263356251.

Almost surely, 2^216741856320 is an apocalyptic number.

216741856320 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 216741856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444846090240).

216741856320 is an abundant number, since it is smaller than the sum of its proper divisors (672950324160).

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

216741856320 is a wasteful number, since it uses less digits than its factorization.

216741856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 216741856320 in words is "two hundred sixteen billion, seven hundred forty-one million, eight hundred fifty-six thousand, three hundred twenty".