4996071600 has 240 divisors, whose sum is σ = 17792861184. Its totient is φ = 1190016000.

The previous prime is 4996071583. The next prime is 4996071653. The reversal of 4996071600 is 61706994.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 478435 + ... + 488765.

Almost surely, 2^4996071600 is an apocalyptic number.

4996071600 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 4996071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896430592).

4996071600 is an abundant number, since it is smaller than the sum of its proper divisors (12796789584).

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

4996071600 is a wasteful number, since it uses less digits than its factorization.

4996071600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396 (or 10385 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 4996071600 is about 70682.8946775668. The cubic root of 4996071600 is about 1709.5279980408.

The spelling of 4996071600 in words is "four billion, nine hundred ninety-six million, seventy-one thousand, six hundred".