6457512000 has 112 divisors (see below), whose sum is σ = 21322783872. Its totient is φ = 1721996800.

The previous prime is 6457511989. The next prime is 6457512001. The reversal of 6457512000 is 2157546.

It is a super-2 number, since 2×6457512000² = 83398922460288000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6457512001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 110532 + ... + 158531.

Almost surely, 2^6457512000 is an apocalyptic number.

6457512000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6457512000 is an abundant number, since it is smaller than the sum of its proper divisors (14865271872).

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

6457512000 is a wasteful number, since it uses less digits than its factorization.

6457512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269093 (or 269073 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 6457512000 is about 80358.6460811778. The cubic root of 6457512000 is about 1862.1803544359.

Adding to 6457512000 its reverse (2157546), we get a palindrome (6459669546).

The spelling of 6457512000 in words is "six billion, four hundred fifty-seven million, five hundred twelve thousand".