8149014720 has 672 divisors, whose sum is σ = 36266420736. Its totient is φ = 1692057600.

The previous prime is 8149014691. The next prime is 8149014749. The reversal of 8149014720 is 274109418.

8149014720 is a `hidden beast` number, since 8 + 1 + 490 + 147 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (8149014691) and next prime (8149014749).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5986840 + ... + 5988200.

It is an arithmetic number, because the mean of its divisors is an integer number (53967888).

Almost surely, 2^8149014720 is an apocalyptic number.

8149014720 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 8149014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18133210368).

8149014720 is an abundant number, since it is smaller than the sum of its proper divisors (28117406016).

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

8149014720 is a wasteful number, since it uses less digits than its factorization.

8149014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8149014720 is about 90271.8933001851. The cubic root of 8149014720 is about 2012.3415793922.

The spelling of 8149014720 in words is "eight billion, one hundred forty-nine million, fourteen thousand, seven hundred twenty".