6736087007760 has 240 divisors, whose sum is σ = 23085491308992. Its totient is φ = 1623550325760.

The previous prime is 6736087007707. The next prime is 6736087007807. The reversal of 6736087007760 is 677007806376.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6736087007760² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6736087007760.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4353519 + ... + 5694321.

Almost surely, 2^{6736087007760} is an apocalyptic number.

6736087007760 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 6736087007760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542745654496).

6736087007760 is an abundant number, since it is smaller than the sum of its proper divisors (16349404301232).

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

6736087007760 is a wasteful number, since it uses less digits than its factorization.

6736087007760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341014 (or 1340997 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 57.

The spelling of 6736087007760 in words is "six trillion, seven hundred thirty-six billion, eighty-seven million, seven thousand, seven hundred sixty".