8749974240 has 768 divisors, whose sum is σ = 37458892800. Its totient is φ = 1863254016.

The previous prime is 8749974217. The next prime is 8749974241. The reversal of 8749974240 is 424799478.

It is a happy number.

8749974240 is a `hidden beast` number, since 87 + 499 + 74 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8749974241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55732242 + ... + 55732398.

It is an arithmetic number, because the mean of its divisors is an integer number (48774600).

Almost surely, 2^8749974240 is an apocalyptic number.

8749974240 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 8749974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729446400).

8749974240 is an abundant number, since it is smaller than the sum of its proper divisors (28708918560).

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

8749974240 is a wasteful number, since it uses less digits than its factorization.

8749974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 8749974240 is about 93541.2969762554. The cubic root of 8749974240 is about 2060.6406277250.

The spelling of 8749974240 in words is "eight billion, seven hundred forty-nine million, nine hundred seventy-four thousand, two hundred forty".