8154685440 has 336 divisors, whose sum is σ = 30852989856. Its totient is φ = 1975910400.

The previous prime is 8154685393. The next prime is 8154685453. The reversal of 8154685440 is 445864518.

It is a happy number.

8154685440 is a `hidden beast` number, since 81 + 54 + 6 + 85 + 440 = 666.

It is a super-3 number, since 3×8154685440³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054035 + ... + 4056045.

Almost surely, 2^8154685440 is an apocalyptic number.

8154685440 is a gapful number since it is divisible by the number (80) 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 8154685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15426494928).

8154685440 is an abundant number, since it is smaller than the sum of its proper divisors (22698304416).

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

8154685440 is a wasteful number, since it uses less digits than its factorization.

8154685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 8154685440 is about 90303.2969497792. The cubic root of 8154685440 is about 2012.8082525655.

The spelling of 8154685440 in words is "eight billion, one hundred fifty-four million, six hundred eighty-five thousand, four hundred forty".