6697929490560 has 768 divisors, whose sum is σ = 28861911187200. Its totient is φ = 1390521876480.

The previous prime is 6697929490537. The next prime is 6697929490583. The reversal of 6697929490560 is 650949297966.

6697929490560 is a `hidden beast` number, since 6 + 6 + 9 + 79 + 2 + 9 + 490 + 5 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6697929490537) and next prime (6697929490583).

It is a super-2 number, since 2×6697929490560² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 539757636 + ... + 539770044.

It is an arithmetic number, because the mean of its divisors is an integer number (37580613525).

Almost surely, 2^{6697929490560} is an apocalyptic number.

6697929490560 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 6697929490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14430955593600).

6697929490560 is an abundant number, since it is smaller than the sum of its proper divisors (22163981696640).

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

6697929490560 is a wasteful number, since it uses less digits than its factorization.

6697929490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13669 (or 13654 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 6697929490560 in words is "six trillion, six hundred ninety-seven billion, nine hundred twenty-nine million, four hundred ninety thousand, five hundred sixty".