7864964224 has 64 divisors (see below), whose sum is σ = 17111666880. Its totient is φ = 3578803200.

The previous prime is 7864964197. The next prime is 7864964231. The reversal of 7864964224 is 4224694687.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84859 + ... + 151429.

It is an arithmetic number, because the mean of its divisors is an integer number (267369795).

Almost surely, 2^7864964224 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 7864964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555833440).

7864964224 is an abundant number, since it is smaller than the sum of its proper divisors (9246702656).

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

7864964224 is a wasteful number, since it uses less digits than its factorization.

7864964224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66669 (or 66657 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 52.

The square root of 7864964224 is about 88684.6335280245. The cubic root of 7864964224 is about 1988.6831033736.

The spelling of 7864964224 in words is "seven billion, eight hundred sixty-four million, nine hundred sixty-four thousand, two hundred twenty-four".