6716127337920 has 2240 divisors, whose sum is σ = 32218075524096. Its totient is φ = 1282539847680.

The previous prime is 6716127337919. The next prime is 6716127337921. The reversal of 6716127337920 is 297337216176.

6716127337920 is a `hidden beast` number, since 67 + 161 + 2 + 7 + 337 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6716127337919) and next prime (6716127337921).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6716127337921) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8121072547 + ... + 8121073373.

Almost surely, 2^{6716127337920} is an apocalyptic number.

6716127337920 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 6716127337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109037762048).

6716127337920 is an abundant number, since it is smaller than the sum of its proper divisors (25501948186176).

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

6716127337920 is a wasteful number, since it uses less digits than its factorization.

6716127337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 6716127337920 in words is "six trillion, seven hundred sixteen billion, one hundred twenty-seven million, three hundred thirty-seven thousand, nine hundred twenty".