7445946816 has 448 divisors, whose sum is σ = 27598786560. Its totient is φ = 1912273920.

The previous prime is 7445946799. The next prime is 7445946817. The reversal of 7445946816 is 6186495447.

7445946816 is a `hidden beast` number, since 7 + 44 + 594 + 6 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7445946817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14236731 + ... + 14237253.

Almost surely, 2^7445946816 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 7445946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13799393280).

7445946816 is an abundant number, since it is smaller than the sum of its proper divisors (20152839744).

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

7445946816 is a wasteful number, since it uses less digits than its factorization.

7445946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 7445946816 is about 86289.8998492871. The cubic root of 7445946816 is about 1952.7200100737.

The spelling of 7445946816 in words is "seven billion, four hundred forty-five million, nine hundred forty-six thousand, eight hundred sixteen".