6296961746880 has 560 divisors, whose sum is σ = 25680304622016. Its totient is φ = 1434752040960.

The previous prime is 6296961746849. The next prime is 6296961746903. The reversal of 6296961746880 is 886471696926.

6296961746880 is a `hidden beast` number, since 6 + 29 + 6 + 9 + 61 + 7 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6296961746799 and 6296961746808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57461740 + ... + 57571220.

Almost surely, 2^{6296961746880} is an apocalyptic number.

6296961746880 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 6296961746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840152311008).

6296961746880 is an abundant number, since it is smaller than the sum of its proper divisors (19383342875136).

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

6296961746880 is a wasteful number, since it uses less digits than its factorization.

6296961746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109834 (or 109815 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 6296961746880 in words is "six trillion, two hundred ninety-six billion, nine hundred sixty-one million, seven hundred forty-six thousand, eight hundred eighty".