6787405476864 has 220 divisors, whose sum is σ = 20301417268000. Its totient is φ = 2258796367872.

The previous prime is 6787405476791. The next prime is 6787405476881. The reversal of 6787405476864 is 4686745047876.

6787405476864 is a `hidden beast` number, since 6 + 7 + 8 + 74 + 0 + 5 + 476 + 86 + 4 = 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 = 6787405476792 and 6787405476801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51276237 + ... + 51408435.

It is an arithmetic number, because the mean of its divisors is an integer number (92279169400).

Almost surely, 2^{6787405476864} is an apocalyptic number.

6787405476864 is a gapful number since it is divisible by the number (64) 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 6787405476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150708634000).

6787405476864 is an abundant number, since it is smaller than the sum of its proper divisors (13514011791136).

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

6787405476864 is a wasteful number, since it uses less digits than its factorization.

6787405476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132850 (or 132823 counting only the distinct ones).

The product of its (nonzero) digits is 1517322240, while the sum is 72.

The spelling of 6787405476864 in words is "six trillion, seven hundred eighty-seven billion, four hundred five million, four hundred seventy-six thousand, eight hundred sixty-four".