216937277440 has 384 divisors, whose sum is σ = 597443726880. Its totient is φ = 74893492224.

The previous prime is 216937277429. The next prime is 216937277467. The reversal of 216937277440 is 44772739612.

It can be written as a sum of positive squares in 16 ways, for example, as 74524632064 + 142412645376 = 272992^2 + 377376^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581601094 + ... + 581601466.

Almost surely, 2^216937277440 is an apocalyptic number.

216937277440 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 216937277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298721863440).

216937277440 is an abundant number, since it is smaller than the sum of its proper divisors (380506449440).

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

216937277440 is a wasteful number, since it uses less digits than its factorization.

216937277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 216937277440 in words is "two hundred sixteen billion, nine hundred thirty-seven million, two hundred seventy-seven thousand, four hundred forty".