6744885577920 has 1120 divisors, whose sum is σ = 28440850204800. Its totient is φ = 1516292628480.

The previous prime is 6744885577901. The next prime is 6744885577921. The reversal of 6744885577920 is 297755884476.

It is a happy number.

6744885577920 is a `hidden beast` number, since 6 + 7 + 4 + 48 + 8 + 5 + 577 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is not an unprimeable number, because it can be changed into a prime (6744885577921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 542317942 + ... + 542330378.

Almost surely, 2^{6744885577920} is an apocalyptic number.

6744885577920 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 6744885577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220425102400).

6744885577920 is an abundant number, since it is smaller than the sum of its proper divisors (21695964626880).

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

6744885577920 is a wasteful number, since it uses less digits than its factorization.

6744885577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12548 (or 12515 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 6744885577920 in words is "six trillion, seven hundred forty-four billion, eight hundred eighty-five million, five hundred seventy-seven thousand, nine hundred twenty".