7916171878890 has 768 divisors, whose sum is σ = 24614064599040. Its totient is φ = 1806520320000.

The previous prime is 7916171878883. The next prime is 7916171878891. The reversal of 7916171878890 is 988781716197.

It is a super-2 number, since 2×7916171878890² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7916171878891) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5992559430 + ... + 5992560750.

It is an arithmetic number, because the mean of its divisors is an integer number (32049563280).

Almost surely, 2^{7916171878890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7916171878890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307032299520).

7916171878890 is an abundant number, since it is smaller than the sum of its proper divisors (16697892720150).

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

7916171878890 is a wasteful number, since it uses less digits than its factorization.

7916171878890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 72.

The spelling of 7916171878890 in words is "seven trillion, nine hundred sixteen billion, one hundred seventy-one million, eight hundred seventy-eight thousand, eight hundred ninety".