6457429440 has 672 divisors, whose sum is σ = 28476025344. Its totient is φ = 1303879680.

The previous prime is 6457429417. The next prime is 6457429483. The reversal of 6457429440 is 449247546.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×6457429440³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8204727 + ... + 8205513.

Almost surely, 2^6457429440 is an apocalyptic number.

6457429440 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 6457429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238012672).

6457429440 is an abundant number, since it is smaller than the sum of its proper divisors (22018595904).

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

6457429440 is a wasteful number, since it uses less digits than its factorization.

6457429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 6457429440 is about 80358.1323824789. The cubic root of 6457429440 is about 1862.1724183419.

The spelling of 6457429440 in words is "six billion, four hundred fifty-seven million, four hundred twenty-nine thousand, four hundred forty".