6457397760 has 800 divisors, whose sum is σ = 26737128000. Its totient is φ = 1473085440.

The previous prime is 6457397753. The next prime is 6457397773. The reversal of 6457397760 is 677937546.

6457397760 is a `hidden beast` number, since 6 + 4 + 573 + 9 + 7 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6457397697 and 6457397706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43338166 + ... + 43338314.

It is an arithmetic number, because the mean of its divisors is an integer number (33421410).

Almost surely, 2^6457397760 is an apocalyptic number.

6457397760 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 6457397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13368564000).

6457397760 is an abundant number, since it is smaller than the sum of its proper divisors (20279730240).

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

6457397760 is a wasteful number, since it uses less digits than its factorization.

6457397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The square root of 6457397760 is about 80357.9352646644. The cubic root of 6457397760 is about 1862.1693730786.

The spelling of 6457397760 in words is "six billion, four hundred fifty-seven million, three hundred ninety-seven thousand, seven hundred sixty".