8216979120 has 320 divisors, whose sum is σ = 32504586240. Its totient is φ = 1868977152.

The previous prime is 8216979107. The next prime is 8216979143. The reversal of 8216979120 is 219796128.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3370542 + ... + 3372978.

It is an arithmetic number, because the mean of its divisors is an integer number (101576832).

Almost surely, 2^8216979120 is an apocalyptic number.

8216979120 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 8216979120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16252293120).

8216979120 is an abundant number, since it is smaller than the sum of its proper divisors (24287607120).

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

8216979120 is a wasteful number, since it uses less digits than its factorization.

8216979120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 8216979120 is about 90647.5544071653. The cubic root of 8216979120 is about 2017.9205408490.

The spelling of 8216979120 in words is "eight billion, two hundred sixteen million, nine hundred seventy-nine thousand, one hundred twenty".