4842512640 has 576 divisors, whose sum is σ = 20207147520. Its totient is φ = 1074954240.

The previous prime is 4842512617. The next prime is 4842512641. The reversal of 4842512640 is 462152484.

4842512640 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 5 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 4842512595 and 4842512604.

It is not an unprimeable number, because it can be changed into a prime (4842512641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8950770 + ... + 8951310.

Almost surely, 2^4842512640 is an apocalyptic number.

4842512640 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 4842512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10103573760).

4842512640 is an abundant number, since it is smaller than the sum of its proper divisors (15364634880).

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

4842512640 is a wasteful number, since it uses less digits than its factorization.

4842512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4842512640 is about 69588.1645109281. The cubic root of 4842512640 is about 1691.8307762955.

The spelling of 4842512640 in words is "four billion, eight hundred forty-two million, five hundred twelve thousand, six hundred forty".