6741006240 has 96 divisors (see below), whose sum is σ = 21268166976. Its totient is φ = 1794723840.

The previous prime is 6741006199. The next prime is 6741006323. The reversal of 6741006240 is 426001476.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6741006198 and 6741006207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297720 + ... + 319560.

It is an arithmetic number, because the mean of its divisors is an integer number (221543406).

Almost surely, 2^6741006240 is an apocalyptic number.

6741006240 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 6741006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10634083488).

6741006240 is an abundant number, since it is smaller than the sum of its proper divisors (14527160736).

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

6741006240 is a wasteful number, since it uses less digits than its factorization.

6741006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22502 (or 22494 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6741006240 is about 82103.6311011882. The cubic root of 6741006240 is about 1889.0418367706.

The spelling of 6741006240 in words is "six billion, seven hundred forty-one million, six thousand, two hundred forty".