4965993000 has 192 divisors, whose sum is σ = 16845865920. Its totient is φ = 1319472000.

The previous prime is 4965992963. The next prime is 4965993001. The reversal of 4965993000 is 3995694.

It is a happy number.

It is a super-2 number, since 2×4965993000² = 49322172952098000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4965993001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2978167 + ... + 2979833.

It is an arithmetic number, because the mean of its divisors is an integer number (87738885).

Almost surely, 2^4965993000 is an apocalyptic number.

4965993000 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 4965993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8422932960).

4965993000 is an abundant number, since it is smaller than the sum of its proper divisors (11879872920).

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

4965993000 is a wasteful number, since it uses less digits than its factorization.

4965993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 4965993000 is about 70469.8020431447. The cubic root of 4965993000 is about 1706.0903807530.

The spelling of 4965993000 in words is "four billion, nine hundred sixty-five million, nine hundred ninety-three thousand".