6503651616 has 576 divisors, whose sum is σ = 23055943680. Its totient is φ = 1585059840.

The previous prime is 6503651591. The next prime is 6503651629. The reversal of 6503651616 is 6161563056.

It is a super-2 number, since 2×6503651616² = 84594968684598822912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82324665 + ... + 82324743.

It is an arithmetic number, because the mean of its divisors is an integer number (40027680).

Almost surely, 2^6503651616 is an apocalyptic number.

6503651616 is a gapful number since it is divisible by the number (66) 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 6503651616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11527971840).

6503651616 is an abundant number, since it is smaller than the sum of its proper divisors (16552292064).

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

6503651616 is a wasteful number, since it uses less digits than its factorization.

6503651616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 6503651616 is about 80645.2206643394. The cubic root of 6503651616 is about 1866.6049924068.

The spelling of 6503651616 in words is "six billion, five hundred three million, six hundred fifty-one thousand, six hundred sixteen".