4079496960 has 1080 divisors, whose sum is σ = 18777827376. Its totient is φ = 836075520.

The previous prime is 4079496923. The next prime is 4079496977. The reversal of 4079496960 is 696949704.

4079496960 is a `hidden beast` number, since 407 + 94 + 96 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4079496897 and 4079496906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55883484 + ... + 55883556.

Almost surely, 2^4079496960 is an apocalyptic number.

4079496960 is a gapful number since it is divisible by the number (40) 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 4079496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9388913688).

4079496960 is an abundant number, since it is smaller than the sum of its proper divisors (14698330416).

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

4079496960 is a wasteful number, since it uses less digits than its factorization.

4079496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 4079496960 is about 63870.9398709617. The cubic root of 4079496960 is about 1597.8482742616.

The spelling of 4079496960 in words is "four billion, seventy-nine million, four hundred ninety-six thousand, nine hundred sixty".