5279678976 has 360 divisors, whose sum is σ = 17010558576. Its totient is φ = 1442488320.

The previous prime is 5279678969. The next prime is 5279678977. The reversal of 5279678976 is 6798769725.

It is a super-5 number, since 5×5279678976⁵ (a number of 50 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (80015040) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5279678977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122783211 + ... + 122783253.

Almost surely, 2^5279678976 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 5279678976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505279288).

5279678976 is an abundant number, since it is smaller than the sum of its proper divisors (11730879600).

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

5279678976 is a wasteful number, since it uses less digits than its factorization.

5279678976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 66.

The square root of 5279678976 is about 72661.3994910640. The cubic root of 5279678976 is about 1741.2822468174.

Multiplying 5279678976 by its sum of digits (66), we get a square (348458812416 = 590304²).

5279678976 divided by its sum of digits (66) gives a square (79995136 = 8944²).

The spelling of 5279678976 in words is "five billion, two hundred seventy-nine million, six hundred seventy-eight thousand, nine hundred seventy-six".