7678937217952 has 768 divisors, whose sum is σ = 21614255308800. Its totient is φ = 2643392102400.

The previous prime is 7678937217883. The next prime is 7678937217967. The reversal of 7678937217952 is 2597127398767.

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

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, 4719690163 + ... + 4719691789.

It is an arithmetic number, because the mean of its divisors is an integer number (28143561600).

Almost surely, 2^{7678937217952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7678937217952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10807127654400).

7678937217952 is an abundant number, since it is smaller than the sum of its proper divisors (13935318090848).

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

7678937217952 is a wasteful number, since it uses less digits than its factorization.

7678937217952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1788 counting only the distinct ones).

The product of its digits is 560105280, while the sum is 73.

The spelling of 7678937217952 in words is "seven trillion, six hundred seventy-eight billion, nine hundred thirty-seven million, two hundred seventeen thousand, nine hundred fifty-two".