7949370224016 has 280 divisors, whose sum is σ = 25276335528696. Its totient is φ = 2405859563520.

The previous prime is 7949370223997. The next prime is 7949370224021. The reversal of 7949370224016 is 6104220739497.

7949370224016 is a `hidden beast` number, since 7 + 9 + 49 + 370 + 224 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57226208400 + 7892144015616 = 239220^2 + 2809296^2 .

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 55 ways as a sum of consecutive naturals, for example, 8819836 + ... + 9679268.

Almost surely, 2^{7949370224016} 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 7949370224016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12638167764348).

7949370224016 is an abundant number, since it is smaller than the sum of its proper divisors (17326965304680).

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

7949370224016 is a wasteful number, since it uses less digits than its factorization.

7949370224016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859533 (or 859512 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 7949370224016 in words is "seven trillion, nine hundred forty-nine billion, three hundred seventy million, two hundred twenty-four thousand, sixteen".