7246436736 has 384 divisors, whose sum is σ = 24692290560. Its totient is φ = 1861816320.

The previous prime is 7246436731. The next prime is 7246436753. The reversal of 7246436736 is 6376346427.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7246436731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32495121 + ... + 32495343.

It is an arithmetic number, because the mean of its divisors is an integer number (64302840).

Almost surely, 2^7246436736 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 7246436736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346145280).

7246436736 is an abundant number, since it is smaller than the sum of its proper divisors (17445853824).

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

7246436736 is a wasteful number, since it uses less digits than its factorization.

7246436736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 403 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 48.

The square root of 7246436736 is about 85126.0050513355. The cubic root of 7246436736 is about 1935.1211889191.

The spelling of 7246436736 in words is "seven billion, two hundred forty-six million, four hundred thirty-six thousand, seven hundred thirty-six".