7794468864 has 384 divisors, whose sum is σ = 28435680000. Its totient is φ = 2054356992.

The previous prime is 7794468863. The next prime is 7794468883. The reversal of 7794468864 is 4688644977.

7794468864 is a `hidden beast` number, since 7 + 7 + 94 + 468 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7794468863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031162 + ... + 5032710.

It is an arithmetic number, because the mean of its divisors is an integer number (74051250).

Almost surely, 2^7794468864 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 7794468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840000).

7794468864 is an abundant number, since it is smaller than the sum of its proper divisors (20641211136).

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

7794468864 is a wasteful number, since it uses less digits than its factorization.

7794468864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1574 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The square root of 7794468864 is about 88286.2892186550. The cubic root of 7794468864 is about 1982.7235980137.

The spelling of 7794468864 in words is "seven billion, seven hundred ninety-four million, four hundred sixty-eight thousand, eight hundred sixty-four".