6997887872640 has 768 divisors, whose sum is σ = 28984932587520. Its totient is φ = 1580225531904.

The previous prime is 6997887872629. The next prime is 6997887872659. The reversal of 6997887872640 is 462787887996.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 6997887872640.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90318397 + ... + 90395843.

It is an arithmetic number, because the mean of its divisors is an integer number (37740797640).

Almost surely, 2^{6997887872640} is an apocalyptic number.

6997887872640 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 6997887872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492466293760).

6997887872640 is an abundant number, since it is smaller than the sum of its proper divisors (21987044714880).

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

6997887872640 is an equidigital number, since it uses as much as digits as its factorization.

6997887872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77571 (or 77547 counting only the distinct ones).

The product of its (nonzero) digits is 4096770048, while the sum is 81.

The spelling of 6997887872640 in words is "six trillion, nine hundred ninety-seven billion, eight hundred eighty-seven million, eight hundred seventy-two thousand, six hundred forty".