6497735552 has 192 divisors, whose sum is σ = 16746413040. Its totient is φ = 2482421760.

The previous prime is 6497735527. The next prime is 6497735557. The reversal of 6497735552 is 2555377946.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 6497735494 and 6497735503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6497735557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3655688 + ... + 3657464.

Almost surely, 2^6497735552 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 6497735552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8373206520).

6497735552 is an abundant number, since it is smaller than the sum of its proper divisors (10248677488).

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

6497735552 is a wasteful number, since it uses less digits than its factorization.

6497735552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1850 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 53.

The square root of 6497735552 is about 80608.5327493312. The cubic root of 6497735552 is about 1866.0388333031.

The spelling of 6497735552 in words is "six billion, four hundred ninety-seven million, seven hundred thirty-five thousand, five hundred fifty-two".