7966898940 has 576 divisors, whose sum is σ = 31231549440. Its totient is φ = 1475020800.

The previous prime is 7966898851. The next prime is 7966898957. The reversal of 7966898940 is 498986697.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 20480266 + ... + 20480654.

It is an arithmetic number, because the mean of its divisors is an integer number (54221440).

Almost surely, 2^7966898940 is an apocalyptic number.

7966898940 is a gapful number since it is divisible by the number (70) 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 7966898940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615774720).

7966898940 is an abundant number, since it is smaller than the sum of its proper divisors (23264650500).

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

7966898940 is a wasteful number, since it uses less digits than its factorization.

7966898940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The square root of 7966898940 is about 89257.4867448104. The cubic root of 7966898940 is about 1997.2377651189.

The spelling of 7966898940 in words is "seven billion, nine hundred sixty-six million, eight hundred ninety-eight thousand, nine hundred forty".