216949974240 has 192 divisors, whose sum is σ = 700814177280. Its totient is φ = 56396820480.

The previous prime is 216949974233. The next prime is 216949974251. The reversal of 216949974240 is 42479949612.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2997357 + ... + 3068883.

It is an arithmetic number, because the mean of its divisors is an integer number (3650073840).

Almost surely, 2^216949974240 is an apocalyptic number.

216949974240 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 216949974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350407088640).

216949974240 is an abundant number, since it is smaller than the sum of its proper divisors (483864203040).

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

216949974240 is a wasteful number, since it uses less digits than its factorization.

216949974240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71705 (or 71697 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 216949974240 in words is "two hundred sixteen billion, nine hundred forty-nine million, nine hundred seventy-four thousand, two hundred forty".