6389779156992 has 1040 divisors, whose sum is σ = 25199782134912. Its totient is φ = 1561948323840.

The previous prime is 6389779156973. The next prime is 6389779157033. The reversal of 6389779156992 is 2996519779836.

6389779156992 is a `hidden beast` number, since 6 + 389 + 7 + 7 + 91 + 5 + 69 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 434287428 + ... + 434302140.

Almost surely, 2^{6389779156992} 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 6389779156992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599891067456).

6389779156992 is an abundant number, since it is smaller than the sum of its proper divisors (18810002977920).

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

6389779156992 is a wasteful number, since it uses less digits than its factorization.

6389779156992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14784 (or 14753 counting only the distinct ones).

The product of its digits is 2777664960, while the sum is 81.

It can be divided in two parts, 6389779 and 156992, that added together give a triangular number (6546771 = T₃₆₁₈).

The spelling of 6389779156992 in words is "six trillion, three hundred eighty-nine billion, seven hundred seventy-nine million, one hundred fifty-six thousand, nine hundred ninety-two".