8750960640 has 312 divisors, whose sum is σ = 30613436568. Its totient is φ = 2312110080.

The previous prime is 8750960623. The next prime is 8750960683. The reversal of 8750960640 is 460690578.

8750960640 is a `hidden beast` number, since 87 + 509 + 6 + 0 + 64 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4286582784 + 4464377856 = 65472^2 + 66816^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36310920 + ... + 36311160.

It is an arithmetic number, because the mean of its divisors is an integer number (98119989).

Almost surely, 2^8750960640 is an apocalyptic number.

8750960640 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 8750960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15306718284).

8750960640 is an abundant number, since it is smaller than the sum of its proper divisors (21862475928).

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

8750960640 is a wasteful number, since it uses less digits than its factorization.

8750960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8750960640 is about 93546.5693652098. The cubic root of 8750960640 is about 2060.7180580306.

The spelling of 8750960640 in words is "eight billion, seven hundred fifty million, nine hundred sixty thousand, six hundred forty".