4946350080 has 624 divisors, whose sum is σ = 19362737664. Its totient is φ = 1073479680.

The previous prime is 4946350067. The next prime is 4946350093. The reversal of 4946350080 is 800536494.

It is an interprime number because it is at equal distance from previous prime (4946350067) and next prime (4946350093).

It is a super-2 number, since 2×4946350080² = 48932758227832012800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 93327334 + ... + 93327386.

Almost surely, 2^4946350080 is an apocalyptic number.

4946350080 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 4946350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9681368832).

4946350080 is an abundant number, since it is smaller than the sum of its proper divisors (14416387584).

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

4946350080 is a wasteful number, since it uses less digits than its factorization.

4946350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4946350080 is about 70330.2927620808. The cubic root of 4946350080 is about 1703.8379356107.

The spelling of 4946350080 in words is "four billion, nine hundred forty-six million, three hundred fifty thousand, eighty".