6140749824 has 288 divisors, whose sum is σ = 19992510720. Its totient is φ = 1798963200.

The previous prime is 6140749801. The next prime is 6140749871. The reversal of 6140749824 is 4289470416.

6140749824 is a `hidden beast` number, since 614 + 0 + 7 + 4 + 9 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 6140749824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6284824 + ... + 6285800.

It is an arithmetic number, because the mean of its divisors is an integer number (69418440).

Almost surely, 2^6140749824 is an apocalyptic number.

6140749824 is a gapful number since it is divisible by the number (64) 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 6140749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9996255360).

6140749824 is an abundant number, since it is smaller than the sum of its proper divisors (13851760896).

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

6140749824 is a wasteful number, since it uses less digits than its factorization.

6140749824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1024 counting only the distinct ones).

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

The square root of 6140749824 is about 78362.9365452827. The cubic root of 6140749824 is about 1831.2197690746.

The spelling of 6140749824 in words is "six billion, one hundred forty million, seven hundred forty-nine thousand, eight hundred twenty-four".