4930627680 has 768 divisors, whose sum is σ = 20437401600. Its totient is φ = 1097349120.

The previous prime is 4930627673. The next prime is 4930627687. The reversal of 4930627680 is 867260394.

It is an interprime number because it is at equal distance from previous prime (4930627673) and next prime (4930627687).

It is a super-2 number, since 2×4930627680² = 48622178637564364800, which contains 22 as substring.

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 (4930627687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38823777 + ... + 38823903.

It is an arithmetic number, because the mean of its divisors is an integer number (26611200).

Almost surely, 2^4930627680 is an apocalyptic number.

4930627680 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 4930627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10218700800).

4930627680 is an abundant number, since it is smaller than the sum of its proper divisors (15506773920).

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

4930627680 is a wasteful number, since it uses less digits than its factorization.

4930627680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4930627680 is about 70218.4283503982. The cubic root of 4930627680 is about 1702.0307542577.

The spelling of 4930627680 in words is "four billion, nine hundred thirty million, six hundred twenty-seven thousand, six hundred eighty".