7866198090 has 256 divisors, whose sum is σ = 22534848000. Its totient is φ = 1948907520.

The previous prime is 7866198089. The next prime is 7866198091. The reversal of 7866198090 is 908916687.

It is an interprime number because it is at equal distance from previous prime (7866198089) and next prime (7866198091).

It is a super-2 number, since 2×7866198090² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7866198091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34350096 + ... + 34350324.

It is an arithmetic number, because the mean of its divisors is an integer number (88026750).

Almost surely, 2^7866198090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7866198090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267424000).

7866198090 is an abundant number, since it is smaller than the sum of its proper divisors (14668649910).

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

7866198090 is a wasteful number, since it uses less digits than its factorization.

7866198090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 7866198090 is about 88691.5897365697. The cubic root of 7866198090 is about 1988.7870936818.

The spelling of 7866198090 in words is "seven billion, eight hundred sixty-six million, one hundred ninety-eight thousand, ninety".