6540953363760 has 80 divisors (see below), whose sum is σ = 20277227647584. Its totient is φ = 1744230813696.

The previous prime is 6540953363723. The next prime is 6540953363881. The reversal of 6540953363760 is 673633590456.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 6540953363760.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24856234 + ... + 25118006.

Almost surely, 2^{6540953363760} is an apocalyptic number.

6540953363760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6540953363760 is an abundant number, since it is smaller than the sum of its proper divisors (13736274283824).

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

6540953363760 is a wasteful number, since it uses less digits than its factorization.

6540953363760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365902 (or 365896 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 57.

The spelling of 6540953363760 in words is "six trillion, five hundred forty billion, nine hundred fifty-three million, three hundred sixty-three thousand, seven hundred sixty".