6457090752 has 168 divisors, whose sum is σ = 21276661536. Its totient is φ = 1834020864.

The previous prime is 6457090741. The next prime is 6457090789. The reversal of 6457090752 is 2570907546.

6457090752 is a `hidden beast` number, since 6 + 4 + 570 + 9 + 0 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 6457090698 and 6457090707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692908 + ... + 702164.

Almost surely, 2^6457090752 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 6457090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10638330768).

6457090752 is an abundant number, since it is smaller than the sum of its proper divisors (14819570784).

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

6457090752 is a wasteful number, since it uses less digits than its factorization.

6457090752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9455 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 6457090752 is about 80356.0249887960. The cubic root of 6457090752 is about 1862.1398611929.

The spelling of 6457090752 in words is "six billion, four hundred fifty-seven million, ninety thousand, seven hundred fifty-two".