1916216640 has 504 divisors, whose sum is σ = 7425220608. Its totient is φ = 452874240.

The previous prime is 1916216629. The next prime is 1916216689. The reversal of 1916216640 is 466126191.

1916216640 is a `hidden beast` number, since 1 + 9 + 1 + 6 + 2 + 1 + 6 + 640 = 666.

It is a super-2 number, since 2×1916216640² = 7343772422825779200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1916216595 and 1916216604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15088257 + ... + 15088383.

Almost surely, 2^1916216640 is an apocalyptic number.

1916216640 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 1916216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712610304).

1916216640 is an abundant number, since it is smaller than the sum of its proper divisors (5509003968).

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

1916216640 is a wasteful number, since it uses less digits than its factorization.

1916216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1916216640 is about 43774.6118200950. The cubic root of 1916216640 is about 1242.0760920187.

The spelling of 1916216640 in words is "one billion, nine hundred sixteen million, two hundred sixteen thousand, six hundred forty".