216467749940 has 144 divisors (see below), whose sum is σ = 502811971200. Its totient is φ = 78228094464.

The previous prime is 216467749931. The next prime is 216467749951. The reversal of 216467749940 is 49947764612.

It is a self number, because there is not a number n which added to its sum of digits gives 216467749940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30575321 + ... + 30582399.

It is an arithmetic number, because the mean of its divisors is an integer number (3491749800).

Almost surely, 2^216467749940 is an apocalyptic number.

216467749940 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 216467749940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251405985600).

216467749940 is an abundant number, since it is smaller than the sum of its proper divisors (286344221260).

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

216467749940 is a wasteful number, since it uses less digits than its factorization.

216467749940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7306 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 59.

The spelling of 216467749940 in words is "two hundred sixteen billion, four hundred sixty-seven million, seven hundred forty-nine thousand, nine hundred forty".