4346648640 has 168 divisors, whose sum is σ = 14978941848. Its totient is φ = 1156915200.

The previous prime is 4346648633. The next prime is 4346648641. The reversal of 4346648640 is 468466434.

It can be written as a sum of positive squares in 4 ways, for example, as 307791936 + 4038856704 = 17544^2 + 63552^2 .

It is a super-2 number, since 2×4346648640² = 37786708799227699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4346648641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2017804 + ... + 2019956.

Almost surely, 2^4346648640 is an apocalyptic number.

4346648640 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 4346648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489470924).

4346648640 is an abundant number, since it is smaller than the sum of its proper divisors (10632293208).

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

4346648640 is a wasteful number, since it uses less digits than its factorization.

4346648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The square root of 4346648640 is about 65929.1183014000. The cubic root of 4346648640 is about 1631.9925749374.

The spelling of 4346648640 in words is "four billion, three hundred forty-six million, six hundred forty-eight thousand, six hundred forty".