8216008740 has 192 divisors, whose sum is σ = 26547333120. Its totient is φ = 2107261440.

The previous prime is 8216008699. The next prime is 8216008741. The reversal of 8216008740 is 478006128.

8216008740 is a `hidden beast` number, since 8 + 2 + 1 + 600 + 8 + 7 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8216008695 and 8216008704.

It is not an unprimeable number, because it can be changed into a prime (8216008741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2894602 + ... + 2897438.

It is an arithmetic number, because the mean of its divisors is an integer number (138267360).

Almost surely, 2^8216008740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8216008740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13273666560).

8216008740 is an abundant number, since it is smaller than the sum of its proper divisors (18331324380).

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

8216008740 is a wasteful number, since it uses less digits than its factorization.

8216008740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8216008740 is about 90642.2017605486. The cubic root of 8216008740 is about 2017.8411026194.

The spelling of 8216008740 in words is "eight billion, two hundred sixteen million, eight thousand, seven hundred forty".