4642020480 has 128 divisors (see below), whose sum is σ = 14940731520. Its totient is φ = 1225801728.

The previous prime is 4642020353. The next prime is 4642020497. The reversal of 4642020480 is 840202464.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186024 + ... + 209496.

It is an arithmetic number, because the mean of its divisors is an integer number (116724465).

Almost surely, 2^4642020480 is an apocalyptic number.

4642020480 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 4642020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470365760).

4642020480 is an abundant number, since it is smaller than the sum of its proper divisors (10298711040).

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

4642020480 is a wasteful number, since it uses less digits than its factorization.

4642020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23598 (or 23586 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4642020480 is about 68132.3746834058. The cubic root of 4642020480 is about 1668.1522441534.

The spelling of 4642020480 in words is "four billion, six hundred forty-two million, twenty thousand, four hundred eighty".