6241812480 has 512 divisors, whose sum is σ = 23781340800. Its totient is φ = 1547698176.

The previous prime is 6241812469. The next prime is 6241812539. The reversal of 6241812480 is 842181426.

6241812480 is a `hidden beast` number, since 62 + 41 + 81 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75202519 + ... + 75202601.

Almost surely, 2^6241812480 is an apocalyptic number.

6241812480 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 6241812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890670400).

6241812480 is an abundant number, since it is smaller than the sum of its proper divisors (17539528320).

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

6241812480 is an equidigital number, since it uses as much as digits as its factorization.

6241812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6241812480 is about 79005.1421111310. The cubic root of 6241812480 is about 1841.2110489891.

The spelling of 6241812480 in words is "six billion, two hundred forty-one million, eight hundred twelve thousand, four hundred eighty".