4642606080 has 528 divisors, whose sum is σ = 18930000960. Its totient is φ = 1029832704.

The previous prime is 4642606063. The next prime is 4642606093. The reversal of 4642606080 is 806062464.

It is a happy number.

4642606080 is a `hidden beast` number, since 4 + 6 + 42 + 6 + 0 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11934526 + ... + 11934914.

Almost surely, 2^4642606080 is an apocalyptic number.

4642606080 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 4642606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465000480).

4642606080 is an abundant number, since it is smaller than the sum of its proper divisors (14287394880).

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

4642606080 is a wasteful number, since it uses less digits than its factorization.

4642606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4642606080 is about 68136.6720643150. The cubic root of 4642606080 is about 1668.2223880978. Note that the first 3 decimals are identical.

The spelling of 4642606080 in words is "four billion, six hundred forty-two million, six hundred six thousand, eighty".