7543808640 has 896 divisors, whose sum is σ = 30502569600. Its totient is φ = 1773674496.

The previous prime is 7543808609. The next prime is 7543808641. The reversal of 7543808640 is 468083457.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7543808641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 203886702 + ... + 203886738.

Almost surely, 2^7543808640 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 7543808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251284800).

7543808640 is an abundant number, since it is smaller than the sum of its proper divisors (22958760960).

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

7543808640 is a wasteful number, since it uses less digits than its factorization.

7543808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 7543808640 is about 86855.1014045807. The cubic root of 7543808640 is about 1961.2376467531.

The spelling of 7543808640 in words is "seven billion, five hundred forty-three million, eight hundred eight thousand, six hundred forty".