6457393152 has 456 divisors, whose sum is σ = 23555166336. Its totient is φ = 1660944384.

The previous prime is 6457393139. The next prime is 6457393157. The reversal of 6457393152 is 2513937546.

6457393152 is a `hidden beast` number, since 64 + 57 + 393 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6457393098 and 6457393107.

It is not an unprimeable number, because it can be changed into a prime (6457393157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280756213 + ... + 280756235.

Almost surely, 2^6457393152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6457393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11777583168).

6457393152 is an abundant number, since it is smaller than the sum of its proper divisors (17097773184).

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

6457393152 is an equidigital number, since it uses as much as digits as its factorization.

6457393152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 6457393152 is about 80357.9065929421. The cubic root of 6457393152 is about 1862.1689301304.

The spelling of 6457393152 in words is "six billion, four hundred fifty-seven million, three hundred ninety-three thousand, one hundred fifty-two".