6291968490864 has 480 divisors, whose sum is σ = 20995060230144. Its totient is φ = 1786938796800.

The previous prime is 6291968490833. The next prime is 6291968490883. The reversal of 6291968490864 is 4680948691926.

6291968490864 is a `hidden beast` number, since 6 + 2 + 9 + 19 + 68 + 490 + 8 + 64 = 666.

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 = 6291968490792 and 6291968490801.

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, 4336297339 + ... + 4336298789.

Almost surely, 2^{6291968490864} 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 6291968490864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497530115072).

6291968490864 is an abundant number, since it is smaller than the sum of its proper divisors (14703091739280).

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

6291968490864 is a wasteful number, since it uses less digits than its factorization.

6291968490864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 6291968490864 in words is "six trillion, two hundred ninety-one billion, nine hundred sixty-eight million, four hundred ninety thousand, eight hundred sixty-four".