6046753440 has 192 divisors, whose sum is σ = 23442967296. Its totient is φ = 1275789312.

The previous prime is 6046753403. The next prime is 6046753487. The reversal of 6046753440 is 443576406.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 25537 + ... + 112896.

It is an arithmetic number, because the mean of its divisors is an integer number (122098788).

Almost surely, 2^6046753440 is an apocalyptic number.

6046753440 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 6046753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721483648).

6046753440 is an abundant number, since it is smaller than the sum of its proper divisors (17396213856).

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

6046753440 is a wasteful number, since it uses less digits than its factorization.

6046753440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138471 (or 138463 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 6046753440 is about 77760.8734518845. The cubic root of 6046753440 is about 1821.8281995790.

The spelling of 6046753440 in words is "six billion, forty-six million, seven hundred fifty-three thousand, four hundred forty".