8215542720 has 896 divisors, whose sum is σ = 36973946880. Its totient is φ = 1667727360.

The previous prime is 8215542703. The next prime is 8215542763. The reversal of 8215542720 is 272455128.

It is a happy number.

8215542720 is a `hidden beast` number, since 82 + 1 + 554 + 2 + 7 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35259724 + ... + 35259956.

Almost surely, 2^8215542720 is an apocalyptic number.

8215542720 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 8215542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486973440).

8215542720 is an abundant number, since it is smaller than the sum of its proper divisors (28758404160).

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

8215542720 is a wasteful number, since it uses less digits than its factorization.

8215542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 8215542720 is about 90639.6310672103. The cubic root of 8215542720 is about 2017.8029505953.

Adding to 8215542720 its reverse (272455128), we get a palindrome (8487997848).

The spelling of 8215542720 in words is "eight billion, two hundred fifteen million, five hundred forty-two thousand, seven hundred twenty".