8214497280 has 768 divisors, whose sum is σ = 33163603200. Its totient is φ = 1911029760.

The previous prime is 8214497261. The next prime is 8214497281. The reversal of 8214497280 is 827944128.

8214497280 is a `hidden beast` number, since 82 + 1 + 4 + 497 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214497281) 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, 112527324 + ... + 112527396.

It is an arithmetic number, because the mean of its divisors is an integer number (43181775).

Almost surely, 2^8214497280 is an apocalyptic number.

8214497280 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 8214497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581801600).

8214497280 is an abundant number, since it is smaller than the sum of its proper divisors (24949105920).

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

8214497280 is a wasteful number, since it uses less digits than its factorization.

8214497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

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

The square root of 8214497280 is about 90633.8638699686. The cubic root of 8214497280 is about 2017.7173574915.

The spelling of 8214497280 in words is "eight billion, two hundred fourteen million, four hundred ninety-seven thousand, two hundred eighty".