6296611680 has 192 divisors, whose sum is σ = 22076167680. Its totient is φ = 1676201472.

The previous prime is 6296611679. The next prime is 6296611687. The reversal of 6296611680 is 861166926.

6296611680 is a `hidden beast` number, since 6 + 29 + 6 + 611 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6296611687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3917437 + ... + 3919043.

It is an arithmetic number, because the mean of its divisors is an integer number (114980040).

Almost surely, 2^6296611680 is an apocalyptic number.

6296611680 is a gapful number since it is divisible by the number (60) 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 6296611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11038083840).

6296611680 is an abundant number, since it is smaller than the sum of its proper divisors (15779556000).

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

6296611680 is a wasteful number, since it uses less digits than its factorization.

6296611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6296611680 is about 79351.1920515376. The cubic root of 6296611680 is about 1846.5835832297.

The spelling of 6296611680 in words is "six billion, two hundred ninety-six million, six hundred eleven thousand, six hundred eighty".