7395966144 has 560 divisors, whose sum is σ = 27970398720. Its totient is φ = 1881169920.

The previous prime is 7395966133. The next prime is 7395966157. The reversal of 7395966144 is 4416695937.

7395966144 is a `hidden beast` number, since 7 + 3 + 9 + 596 + 6 + 1 + 44 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11720709 + ... + 11721339.

Almost surely, 2^7395966144 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 7395966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13985199360).

7395966144 is an abundant number, since it is smaller than the sum of its proper divisors (20574432576).

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

7395966144 is a wasteful number, since it uses less digits than its factorization.

7395966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 679 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 7395966144 is about 85999.8031625654. The cubic root of 7395966144 is about 1948.3410079225.

The spelling of 7395966144 in words is "seven billion, three hundred ninety-five million, nine hundred sixty-six thousand, one hundred forty-four".