4995579034368 has 432 divisors, whose sum is σ = 15599337062400. Its totient is φ = 1528423243776.

The previous prime is 4995579034361. The next prime is 4995579034387. The reversal of 4995579034368 is 8634309755994.

4995579034368 is a `hidden beast` number, since 4 + 9 + 9 + 5 + 579 + 0 + 3 + 43 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4995579034296 and 4995579034305.

It is not an unprimeable number, because it can be changed into a prime (4995579034361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6871497621 + ... + 6871498347.

Almost surely, 2^{4995579034368} is an apocalyptic number.

4995579034368 is a gapful number since it is divisible by the number (48) 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 4995579034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799668531200).

4995579034368 is an abundant number, since it is smaller than the sum of its proper divisors (10603758028032).

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

4995579034368 is a wasteful number, since it uses less digits than its factorization.

4995579034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 4995579034368 in words is "four trillion, nine hundred ninety-five billion, five hundred seventy-nine million, thirty-four thousand, three hundred sixty-eight".