6507797472 has 384 divisors, whose sum is σ = 22417274880. Its totient is φ = 1814446080.

The previous prime is 6507797467. The next prime is 6507797479. The reversal of 6507797472 is 2747977056.

6507797472 is a `hidden beast` number, since 6 + 507 + 7 + 97 + 47 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6507797479) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7593268 + ... + 7594124.

It is an arithmetic number, because the mean of its divisors is an integer number (58378320).

Almost surely, 2^6507797472 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 6507797472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11208637440).

6507797472 is an abundant number, since it is smaller than the sum of its proper divisors (15909477408).

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

6507797472 is a wasteful number, since it uses less digits than its factorization.

6507797472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The square root of 6507797472 is about 80670.9208575184. The cubic root of 6507797472 is about 1867.0015404880.

The spelling of 6507797472 in words is "six billion, five hundred seven million, seven hundred ninety-seven thousand, four hundred seventy-two".