8140746240 has 800 divisors, whose sum is σ = 32940141696. Its totient is φ = 1904394240.

The previous prime is 8140746233. The next prime is 8140746307. The reversal of 8140746240 is 426470418.

8140746240 is a `hidden beast` number, since 8 + 1 + 407 + 4 + 6 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8140746195 and 8140746204.

It is a congruent number.

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, 98081239 + ... + 98081321.

Almost surely, 2^8140746240 is an apocalyptic number.

8140746240 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 8140746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470070848).

8140746240 is an abundant number, since it is smaller than the sum of its proper divisors (24799395456).

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

8140746240 is a wasteful number, since it uses less digits than its factorization.

8140746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8140746240 is about 90226.0840333880. The cubic root of 8140746240 is about 2011.6607348364.

The spelling of 8140746240 in words is "eight billion, one hundred forty million, seven hundred forty-six thousand, two hundred forty".