216738413760 has 336 divisors, whose sum is σ = 761097109248. Its totient is φ = 52215736320.

The previous prime is 216738413743. The next prime is 216738413767. The reversal of 216738413760 is 67314837612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (216738413767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18928357 + ... + 18939803.

It is an arithmetic number, because the mean of its divisors is an integer number (2265169968).

Almost surely, 2^216738413760 is an apocalyptic number.

216738413760 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 216738413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380548554624).

216738413760 is an abundant number, since it is smaller than the sum of its proper divisors (544358695488).

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

216738413760 is a wasteful number, since it uses less digits than its factorization.

216738413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11652 (or 11631 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 216738413760 in words is "two hundred sixteen billion, seven hundred thirty-eight million, four hundred thirteen thousand, seven hundred sixty".