6241783680 has 768 divisors, whose sum is σ = 25204608000. Its totient is φ = 1408942080.

The previous prime is 6241783673. The next prime is 6241783763. The reversal of 6241783680 is 863871426.

6241783680 is a `hidden beast` number, since 624 + 17 + 8 + 3 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79009881 + ... + 79009959.

It is an arithmetic number, because the mean of its divisors is an integer number (32818500).

Almost surely, 2^6241783680 is an apocalyptic number.

6241783680 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 6241783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602304000).

6241783680 is an abundant number, since it is smaller than the sum of its proper divisors (18962824320).

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

6241783680 is a wasteful number, since it uses less digits than its factorization.

6241783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6241783680 is about 79004.9598443034. The cubic root of 6241783680 is about 1841.2082171749.

The spelling of 6241783680 in words is "six billion, two hundred forty-one million, seven hundred eighty-three thousand, six hundred eighty".