8210749680 has 600 divisors, whose sum is σ = 34944616080. Its totient is φ = 1776660480.

The previous prime is 8210749669. The next prime is 8210749697. The reversal of 8210749680 is 869470128.

8210749680 is a `hidden beast` number, since 82 + 1 + 0 + 7 + 496 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6032200 + ... + 6033560.

Almost surely, 2^8210749680 is an apocalyptic number.

8210749680 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 8210749680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472308040).

8210749680 is an abundant number, since it is smaller than the sum of its proper divisors (26733866400).

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

8210749680 is a wasteful number, since it uses less digits than its factorization.

8210749680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8210749680 is about 90613.1871197565. The cubic root of 8210749680 is about 2017.4104712831.

The spelling of 8210749680 in words is "eight billion, two hundred ten million, seven hundred forty-nine thousand, six hundred eighty".