8154368640 has 768 divisors, whose sum is σ = 32639967360. Its totient is φ = 1857945600.

The previous prime is 8154368633. The next prime is 8154368647. The reversal of 8154368640 is 468634518.

8154368640 is a `hidden beast` number, since 8 + 1 + 543 + 68 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (8154368633) and next prime (8154368647).

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

It is not an unprimeable number, because it can be changed into a prime (8154368647) 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 95 ways as a sum of consecutive naturals, for example, 111703644 + ... + 111703716.

Almost surely, 2^8154368640 is an apocalyptic number.

8154368640 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 8154368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16319983680).

8154368640 is an abundant number, since it is smaller than the sum of its proper divisors (24485598720).

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

8154368640 is a wasteful number, since it uses less digits than its factorization.

8154368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8154368640 is about 90301.5428439625. The cubic root of 8154368640 is about 2012.7821871452.

The spelling of 8154368640 in words is "eight billion, one hundred fifty-four million, three hundred sixty-eight thousand, six hundred forty".