4842137664 has 672 divisors, whose sum is σ = 18388218240. Its totient is φ = 1237856256.

The previous prime is 4842137639. The next prime is 4842137683. The reversal of 4842137664 is 4667312484.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58338967 + ... + 58339049.

It is an arithmetic number, because the mean of its divisors is an integer number (27363420).

Almost surely, 2^4842137664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4842137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194109120).

4842137664 is an abundant number, since it is smaller than the sum of its proper divisors (13546080576).

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

4842137664 is a wasteful number, since it uses less digits than its factorization.

4842137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4842137664 is about 69585.4702075081. The cubic root of 4842137664 is about 1691.7871066581.

The spelling of 4842137664 in words is "four billion, eight hundred forty-two million, one hundred thirty-seven thousand, six hundred sixty-four".