6457727520 has 144 divisors (see below), whose sum is σ = 22060950912. Its totient is φ = 1720189440.

The previous prime is 6457727513. The next prime is 6457727537. The reversal of 6457727520 is 257277546.

6457727520 is a `hidden beast` number, since 6 + 4 + 57 + 72 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1770819 + ... + 1774461.

It is an arithmetic number, because the mean of its divisors is an integer number (153201048).

Almost surely, 2^6457727520 is an apocalyptic number.

6457727520 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 6457727520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030475456).

6457727520 is an abundant number, since it is smaller than the sum of its proper divisors (15603223392).

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

6457727520 is a wasteful number, since it uses less digits than its factorization.

6457727520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 6457727520 is about 80359.9870582369. The cubic root of 6457727520 is about 1862.2010710135.

The spelling of 6457727520 in words is "six billion, four hundred fifty-seven million, seven hundred twenty-seven thousand, five hundred twenty".