1678216320 has 512 divisors, whose sum is σ = 6624288000. Its totient is φ = 403107840.

The previous prime is 1678216313. The next prime is 1678216369. The reversal of 1678216320 is 236128761.

1678216320 is a `hidden beast` number, since 16 + 7 + 8 + 2 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15396426 + ... + 15396534.

Almost surely, 2^1678216320 is an apocalyptic number.

1678216320 is a gapful number since it is divisible by the number (10) 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 1678216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312144000).

1678216320 is an abundant number, since it is smaller than the sum of its proper divisors (4946071680).

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

1678216320 is an equidigital number, since it uses as much as digits as its factorization.

1678216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1678216320 is about 40966.0386173718. The cubic root of 1678216320 is about 1188.3635251145.

It can be divided in two parts, 16 and 78216320, that added together give a square (78216336 = 8844²).

The spelling of 1678216320 in words is "one billion, six hundred seventy-eight million, two hundred sixteen thousand, three hundred twenty".