8212749840 has 160 divisors (see below), whose sum is σ = 29518467840. Its totient is φ = 2094833664.

The previous prime is 8212749799. The next prime is 8212749841. The reversal of 8212749840 is 489472128.

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 (8212749841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32977 + ... + 132336.

It is an arithmetic number, because the mean of its divisors is an integer number (184490424).

Almost surely, 2^8212749840 is an apocalyptic number.

8212749840 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 8212749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14759233920).

8212749840 is an abundant number, since it is smaller than the sum of its proper divisors (21305718000).

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

8212749840 is a wasteful number, since it uses less digits than its factorization.

8212749840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165358 (or 165346 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8212749840 is about 90624.2232518437. The cubic root of 8212749840 is about 2017.5742734641.

The spelling of 8212749840 in words is "eight billion, two hundred twelve million, seven hundred forty-nine thousand, eight hundred forty".