7934146303716 has 192 divisors, whose sum is σ = 21699195436800. Its totient is φ = 2500139768832.

The previous prime is 7934146303709. The next prime is 7934146303723. The reversal of 7934146303716 is 6173036414397.

7934146303716 is a `hidden beast` number, since 79 + 3 + 41 + 463 + 0 + 3 + 71 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7934146303709) and next prime (7934146303723).

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

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, 2686807296 + ... + 2686810248.

It is an arithmetic number, because the mean of its divisors is an integer number (113016642900).

Almost surely, 2^{7934146303716} is an apocalyptic number.

7934146303716 is a gapful number since it is divisible by the number (76) 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 7934146303716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849597718400).

7934146303716 is an abundant number, since it is smaller than the sum of its proper divisors (13765049133084).

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

7934146303716 is a wasteful number, since it uses less digits than its factorization.

7934146303716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 7934146303716 in words is "seven trillion, nine hundred thirty-four billion, one hundred forty-six million, three hundred three thousand, seven hundred sixteen".