6815493517950 has 384 divisors, whose sum is σ = 20816357667840. Its totient is φ = 1629323942400.

The previous prime is 6815493517949. The next prime is 6815493517961. The reversal of 6815493517950 is 597153945186.

6815493517950 is a `hidden beast` number, since 6 + 8 + 1 + 5 + 493 + 51 + 7 + 95 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83444532 + ... + 83526168.

It is an arithmetic number, because the mean of its divisors is an integer number (54209264760).

Almost surely, 2^{6815493517950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6815493517950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10408178833920).

6815493517950 is an abundant number, since it is smaller than the sum of its proper divisors (14000864149890).

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

6815493517950 is a wasteful number, since it uses less digits than its factorization.

6815493517950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81809 (or 81798 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 6815493517950 in words is "six trillion, eight hundred fifteen billion, four hundred ninety-three million, five hundred seventeen thousand, nine hundred fifty".