8062916400 has 1440 divisors, whose sum is σ = 38858227200. Its totient is φ = 1496678400.

The previous prime is 8062916333. The next prime is 8062916401. The reversal of 8062916400 is 46192608.

8062916400 is a `hidden beast` number, since 8 + 0 + 6 + 2 + 9 + 1 + 640 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8062916401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136659571 + ... + 136659629.

It is an arithmetic number, because the mean of its divisors is an integer number (26984880).

Almost surely, 2^8062916400 is an apocalyptic number.

8062916400 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 8062916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19429113600).

8062916400 is an abundant number, since it is smaller than the sum of its proper divisors (30795310800).

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

8062916400 is a wasteful number, since it uses less digits than its factorization.

8062916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8062916400 is about 89793.7436573395. The cubic root of 8062916400 is about 2005.2293483743.

The spelling of 8062916400 in words is "eight billion, sixty-two million, nine hundred sixteen thousand, four hundred".