4153543680 has 704 divisors, whose sum is σ = 16374951936. Its totient is φ = 884736000.

The previous prime is 4153543657. The next prime is 4153543687. The reversal of 4153543680 is 863453514.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153543687) 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, 68090850 + ... + 68090910.

Almost surely, 2^4153543680 is an apocalyptic number.

4153543680 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 4153543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8187475968).

4153543680 is an abundant number, since it is smaller than the sum of its proper divisors (12221408256).

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

4153543680 is a wasteful number, since it uses less digits than its factorization.

4153543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 4153543680 is about 64447.9920556102. The cubic root of 4153543680 is about 1607.4578504477.

The spelling of 4153543680 in words is "four billion, one hundred fifty-three million, five hundred forty-three thousand, six hundred eighty".