7436434040 has 192 divisors, whose sum is σ = 20632449600. Its totient is φ = 2400921600.

The previous prime is 7436434003. The next prime is 7436434043. The reversal of 7436434040 is 404346347.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7436434043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2328845 + ... + 2332035.

It is an arithmetic number, because the mean of its divisors is an integer number (107460675).

Almost surely, 2^7436434040 is an apocalyptic number.

7436434040 is a gapful number since it is divisible by the number (70) 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 7436434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10316224800).

7436434040 is an abundant number, since it is smaller than the sum of its proper divisors (13196015560).

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

7436434040 is a wasteful number, since it uses less digits than its factorization.

7436434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 35.

The square root of 7436434040 is about 86234.7612045166. The cubic root of 7436434040 is about 1951.8880718037. Note that the first 3 decimals are identical.

The spelling of 7436434040 in words is "seven billion, four hundred thirty-six million, four hundred thirty-four thousand, forty".