6506653362000 has 640 divisors, whose sum is σ = 23210846410752. Its totient is φ = 1554961408000.

The previous prime is 6506653361941. The next prime is 6506653362031. The reversal of 6506653362000 is 2633566056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3248452999 + ... + 3248455001.

Almost surely, 2^{6506653362000} is an apocalyptic number.

6506653362000 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 6506653362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11605423205376).

6506653362000 is an abundant number, since it is smaller than the sum of its proper divisors (16704193048752).

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

6506653362000 is a wasteful number, since it uses less digits than its factorization.

6506653362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 6506653362000 in words is "six trillion, five hundred six billion, six hundred fifty-three million, three hundred sixty-two thousand".