6637772671680 has 224 divisors, whose sum is σ = 21277484642304. Its totient is φ = 1753138130944.

The previous prime is 6637772671679. The next prime is 6637772671681. The reversal of 6637772671680 is 861762777366.

It is an interprime number because it is at equal distance from previous prime (6637772671679) and next prime (6637772671681).

It is not an unprimeable number, because it can be changed into a prime (6637772671681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43603057 + ... + 43755023.

Almost surely, 2^{6637772671680} is an apocalyptic number.

6637772671680 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 6637772671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10638742321152).

6637772671680 is an abundant number, since it is smaller than the sum of its proper divisors (14639711970624).

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

6637772671680 is a wasteful number, since it uses less digits than its factorization.

6637772671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152423 (or 152413 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 66.

The spelling of 6637772671680 in words is "six trillion, six hundred thirty-seven billion, seven hundred seventy-two million, six hundred seventy-one thousand, six hundred eighty".