216928670400 has 1008 divisors, whose sum is σ = 877476040320. Its totient is φ = 52080537600.

The previous prime is 216928670389. The next prime is 216928670447. The reversal of 216928670400 is 4076829612.

It is a happy number.

216928670400 is a `hidden beast` number, since 2 + 16 + 92 + 86 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 313934055 + ... + 313934745.

Almost surely, 2^216928670400 is an apocalyptic number.

216928670400 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 216928670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438738020160).

216928670400 is an abundant number, since it is smaller than the sum of its proper divisors (660547369920).

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

216928670400 is a wasteful number, since it uses less digits than its factorization.

216928670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 216928670400 in words is "two hundred sixteen billion, nine hundred twenty-eight million, six hundred seventy thousand, four hundred".