4247415648 has 576 divisors, whose sum is σ = 15515136000. Its totient is φ = 1097349120.

The previous prime is 4247415647. The next prime is 4247415649. The reversal of 4247415648 is 8465147424.

4247415648 is a `hidden beast` number, since 4 + 2 + 47 + 41 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4247415647) and next prime (4247415649).

It is a super-3 number, since 3×4247415648³ (a number of 30 digits) contains 333 as substring.

Its product of digits (860160) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4247415647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58183740 + ... + 58183812.

It is an arithmetic number, because the mean of its divisors is an integer number (26936000).

Almost surely, 2^4247415648 is an apocalyptic number.

4247415648 is a gapful number since it is divisible by the number (48) 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 4247415648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757568000).

4247415648 is an abundant number, since it is smaller than the sum of its proper divisors (11267720352).

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

4247415648 is a wasteful number, since it uses less digits than its factorization.

4247415648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 4247415648 is about 65172.1999628676. The cubic root of 4247415648 is about 1619.4775086847.

The spelling of 4247415648 in words is "four billion, two hundred forty-seven million, four hundred fifteen thousand, six hundred forty-eight".