7436066153472 has 704 divisors, whose sum is σ = 25314392862720. Its totient is φ = 2134248652800.

The previous prime is 7436066153443. The next prime is 7436066153497. The reversal of 7436066153472 is 2743516606347.

7436066153472 is a `hidden beast` number, since 7 + 4 + 3 + 60 + 6 + 61 + 53 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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, 720474072 + ... + 720484392.

Almost surely, 2^{7436066153472} is an apocalyptic number.

7436066153472 is a gapful number since it is divisible by the number (72) 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 7436066153472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657196431360).

7436066153472 is an abundant number, since it is smaller than the sum of its proper divisors (17878326709248).

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

7436066153472 is a wasteful number, since it uses less digits than its factorization.

7436066153472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487 (or 10463 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 7436066153472 in words is "seven trillion, four hundred thirty-six billion, sixty-six million, one hundred fifty-three thousand, four hundred seventy-two".