7946105940 has 192 divisors, whose sum is σ = 25472160000. Its totient is φ = 2054979072.

The previous prime is 7946105939. The next prime is 7946105989. The reversal of 7946105940 is 495016497.

7946105940 is a `hidden beast` number, since 7 + 9 + 46 + 10 + 594 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9969622 + ... + 9970418.

It is an arithmetic number, because the mean of its divisors is an integer number (132667500).

Almost surely, 2^7946105940 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 7946105940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736080000).

7946105940 is an abundant number, since it is smaller than the sum of its proper divisors (17526054060).

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

7946105940 is a wasteful number, since it uses less digits than its factorization.

7946105940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7946105940 is about 89140.9330218166. The cubic root of 7946105940 is about 1995.4987051058.

The spelling of 7946105940 in words is "seven billion, nine hundred forty-six million, one hundred five thousand, nine hundred forty".