8014680700 has 288 divisors, whose sum is σ = 20823667200. Its totient is φ = 2650475520.

The previous prime is 8014680691. The next prime is 8014680727. The reversal of 8014680700 is 70864108.

It is a happy number.

It is a congruent number.

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, 47992017 + ... + 47992183.

It is an arithmetic number, because the mean of its divisors is an integer number (72304400).

Almost surely, 2^8014680700 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 8014680700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10411833600).

8014680700 is an abundant number, since it is smaller than the sum of its proper divisors (12808986500).

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

8014680700 is a wasteful number, since it uses less digits than its factorization.

8014680700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 8014680700 is about 89524.7490920807. The cubic root of 8014680700 is about 2001.2226440851. Note that the first 3 decimals are identical.

The spelling of 8014680700 in words is "eight billion, fourteen million, six hundred eighty thousand, seven hundred".