1855678464 has 192 divisors, whose sum is σ = 5651755200. Its totient is φ = 601178112.

The previous prime is 1855678463. The next prime is 1855678481. The reversal of 1855678464 is 4648765581.

1855678464 is a `hidden beast` number, since 1 + 8 + 556 + 7 + 84 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1855678464.

It is not an unprimeable number, because it can be changed into a prime (1855678463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2045499 + ... + 2046405.

It is an arithmetic number, because the mean of its divisors is an integer number (29436225).

Almost surely, 2^1855678464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1855678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825877600).

1855678464 is an abundant number, since it is smaller than the sum of its proper divisors (3796076736).

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

1855678464 is an equidigital number, since it uses as much as digits as its factorization.

1855678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 949 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 1855678464 is about 43077.5865619234. The cubic root of 1855678464 is about 1228.8557591885.

It can be divided in two parts, 18556 and 78464, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 1855678464 in words is "one billion, eight hundred fifty-five million, six hundred seventy-eight thousand, four hundred sixty-four".