216674876340 has 1152 divisors, whose sum is σ = 826398720000. Its totient is φ = 46872483840.

The previous prime is 216674876323. The next prime is 216674876347. The reversal of 216674876340 is 43678476612.

216674876340 is a `hidden beast` number, since 2 + 1 + 6 + 67 + 487 + 63 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216674876347) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1558811991 + ... + 1558812129.

It is an arithmetic number, because the mean of its divisors is an integer number (717360000).

Almost surely, 2^216674876340 is an apocalyptic number.

216674876340 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 216674876340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413199360000).

216674876340 is an abundant number, since it is smaller than the sum of its proper divisors (609723843660).

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

216674876340 is a wasteful number, since it uses less digits than its factorization.

216674876340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 216674876340 in words is "two hundred sixteen billion, six hundred seventy-four million, eight hundred seventy-six thousand, three hundred forty".