6335546880 has 640 divisors, whose sum is σ = 23758479360. Its totient is φ = 1427374080.

The previous prime is 6335546863. The next prime is 6335546897. The reversal of 6335546880 is 886455336.

It is an interprime number because it is at equal distance from previous prime (6335546863) and next prime (6335546897).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71185876 + ... + 71185964.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 2^6335546880 is an apocalyptic number.

6335546880 is a gapful number since it is divisible by the number (60) 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 6335546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879239680).

6335546880 is an abundant number, since it is smaller than the sum of its proper divisors (17422932480).

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

6335546880 is a wasteful number, since it uses less digits than its factorization.

6335546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The square root of 6335546880 is about 79596.1486505472. The cubic root of 6335546880 is about 1850.3818914562.

The spelling of 6335546880 in words is "six billion, three hundred thirty-five million, five hundred forty-six thousand, eight hundred eighty".