6241847040 has 720 divisors, whose sum is σ = 26301423456. Its totient is φ = 1393459200.

The previous prime is 6241847009. The next prime is 6241847137. The reversal of 6241847040 is 407481426.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 6241846986 and 6241847004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14826030 + ... + 14826450.

Almost surely, 2^6241847040 is an apocalyptic number.

6241847040 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 6241847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13150711728).

6241847040 is an abundant number, since it is smaller than the sum of its proper divisors (20059576416).

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

6241847040 is a wasteful number, since it uses less digits than its factorization.

6241847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6241847040 is about 79005.3608307689. The cubic root of 6241847040 is about 1841.2144471547.

The spelling of 6241847040 in words is "six billion, two hundred forty-one million, eight hundred forty-seven thousand, forty".