4946577120 has 192 divisors, whose sum is σ = 17347176000. Its totient is φ = 1316487168.

The previous prime is 4946577113. The next prime is 4946577121. The reversal of 4946577120 is 217756494.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4946577121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3321336 + ... + 3322824.

It is an arithmetic number, because the mean of its divisors is an integer number (90349875).

Almost surely, 2^4946577120 is an apocalyptic number.

4946577120 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 4946577120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673588000).

4946577120 is an abundant number, since it is smaller than the sum of its proper divisors (12400598880).

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

4946577120 is a wasteful number, since it uses less digits than its factorization.

4946577120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 4946577120 is about 70331.9068417742. The cubic root of 4946577120 is about 1703.8640042229.

The spelling of 4946577120 in words is "four billion, nine hundred forty-six million, five hundred seventy-seven thousand, one hundred twenty".