8214548720 has 80 divisors (see below), whose sum is σ = 21839191488. Its totient is φ = 2814873600.

The previous prime is 8214548717. The next prime is 8214548723. The reversal of 8214548720 is 278454128.

It is an interprime number because it is at equal distance from previous prime (8214548717) and next prime (8214548723).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214548723) 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, 1565942 + ... + 1571178.

Almost surely, 2^8214548720 is an apocalyptic number.

8214548720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8214548720 is an abundant number, since it is smaller than the sum of its proper divisors (13624642768).

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

8214548720 is a wasteful number, since it uses less digits than its factorization.

8214548720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 41.

The square root of 8214548720 is about 90634.1476486650. The cubic root of 8214548720 is about 2017.7215691984.

The spelling of 8214548720 in words is "eight billion, two hundred fourteen million, five hundred forty-eight thousand, seven hundred twenty".