8043658506240 has 1664 divisors, whose sum is σ = 33567513772032. Its totient is φ = 1600735150080.

The previous prime is 8043658506197. The next prime is 8043658506253. The reversal of 8043658506240 is 426058563408.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 5212998909 + ... + 5213000451.

Almost surely, 2^{8043658506240} is an apocalyptic number.

8043658506240 is a gapful number since it is divisible by the number (80) 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 8043658506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783756886016).

8043658506240 is an abundant number, since it is smaller than the sum of its proper divisors (25523855265792).

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

8043658506240 is a wasteful number, since it uses less digits than its factorization.

8043658506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 8043658506240 in words is "eight trillion, forty-three billion, six hundred fifty-eight million, five hundred six thousand, two hundred forty".