6457643040 has 96 divisors (see below), whose sum is σ = 20357459136. Its totient is φ = 1720693760.

The previous prime is 6457643039. The next prime is 6457643051. The reversal of 6457643040 is 403467546.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6457643040.

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, 712135 + ... + 721145.

It is an arithmetic number, because the mean of its divisors is an integer number (212056866).

Almost surely, 2^6457643040 is an apocalyptic number.

6457643040 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 6457643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178729568).

6457643040 is an abundant number, since it is smaller than the sum of its proper divisors (13899816096).

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

6457643040 is a wasteful number, since it uses less digits than its factorization.

6457643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10514 counting only the distinct ones).

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

The square root of 6457643040 is about 80359.4614217890. The cubic root of 6457643040 is about 1862.1929505391.

The spelling of 6457643040 in words is "six billion, four hundred fifty-seven million, six hundred forty-three thousand, forty".