8745690240 has 384 divisors, whose sum is σ = 35632696320. Its totient is φ = 1934254080.

The previous prime is 8745690227. The next prime is 8745690251. The reversal of 8745690240 is 420965478.

It is a happy number.

8745690240 is a `hidden beast` number, since 87 + 4 + 569 + 0 + 2 + 4 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246422 + ... + 1253418.

It is an arithmetic number, because the mean of its divisors is an integer number (92793480).

Almost surely, 2^8745690240 is an apocalyptic number.

8745690240 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 8745690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816348160).

8745690240 is an abundant number, since it is smaller than the sum of its proper divisors (26887006080).

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

8745690240 is a wasteful number, since it uses less digits than its factorization.

8745690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 8745690240 is about 93518.3951958116. The cubic root of 8745690240 is about 2060.3042752856.

The spelling of 8745690240 in words is "eight billion, seven hundred forty-five million, six hundred ninety thousand, two hundred forty".