7356536406 has 96 divisors (see below), whose sum is σ = 17053470720. Its totient is φ = 2287958400.

The previous prime is 7356536351. The next prime is 7356536423. The reversal of 7356536406 is 6046356537.

7356536406 is a `hidden beast` number, since 73 + 5 + 6 + 536 + 40 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1893586 + ... + 1897466.

It is an arithmetic number, because the mean of its divisors is an integer number (177640320).

Almost surely, 2^7356536406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7356536406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526735360).

7356536406 is an abundant number, since it is smaller than the sum of its proper divisors (9696934314).

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

7356536406 is a wasteful number, since it uses less digits than its factorization.

7356536406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The square root of 7356536406 is about 85770.2536197719. The cubic root of 7356536406 is about 1944.8724729642.

The spelling of 7356536406 in words is "seven billion, three hundred fifty-six million, five hundred thirty-six thousand, four hundred six".