6736491987264 has 1008 divisors, whose sum is σ = 23754545523072. Its totient is φ = 1877828603904.

The previous prime is 6736491987257. The next prime is 6736491987289. The reversal of 6736491987264 is 4627891946376.

It is a happy number.

6736491987264 is a `hidden beast` number, since 6 + 7 + 3 + 6 + 491 + 9 + 8 + 72 + 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 = 6736491987192 and 6736491987201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1678665322 + ... + 1678669334.

It is an arithmetic number, because the mean of its divisors is an integer number (23566017384).

Almost surely, 2^{6736491987264} is an apocalyptic number.

6736491987264 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 6736491987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877272761536).

6736491987264 is an abundant number, since it is smaller than the sum of its proper divisors (17018053535808).

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

6736491987264 is a wasteful number, since it uses less digits than its factorization.

6736491987264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4073 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 6736491987264 in words is "six trillion, seven hundred thirty-six billion, four hundred ninety-one million, nine hundred eighty-seven thousand, two hundred sixty-four".