7450755840 has 720 divisors, whose sum is σ = 29916311040. Its totient is φ = 1755095040.

The previous prime is 7450755827. The next prime is 7450755911. The reversal of 7450755840 is 485570547.

7450755840 is a `hidden beast` number, since 7 + 4 + 50 + 7 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53602491 + ... + 53602629.

It is an arithmetic number, because the mean of its divisors is an integer number (41550432).

Almost surely, 2^7450755840 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 7450755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958155520).

7450755840 is an abundant number, since it is smaller than the sum of its proper divisors (22465555200).

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

7450755840 is a wasteful number, since it uses less digits than its factorization.

7450755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 7450755840 is about 86317.7608606711. The cubic root of 7450755840 is about 1953.1403128536.

The spelling of 7450755840 in words is "seven billion, four hundred fifty million, seven hundred fifty-five thousand, eight hundred forty".