4979016000 has 896 divisors, whose sum is σ = 21682252800. Its totient is φ = 1094860800.

The previous prime is 4979015929. The next prime is 4979016013. The reversal of 4979016000 is 6109794.

4979016000 is a `hidden beast` number, since 49 + 7 + 9 + 0 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 55943956 + ... + 55944044.

Almost surely, 2^4979016000 is an apocalyptic number.

4979016000 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 4979016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841126400).

4979016000 is an abundant number, since it is smaller than the sum of its proper divisors (16703236800).

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

4979016000 is a wasteful number, since it uses less digits than its factorization.

4979016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4979016000 is about 70562.1428246053. The cubic root of 4979016000 is about 1707.5804500537.

The spelling of 4979016000 in words is "four billion, nine hundred seventy-nine million, sixteen thousand".