8734646345040 has 480 divisors, whose sum is σ = 36757768709376. Its totient is φ = 1805776035840.

The previous prime is 8734646345017. The next prime is 8734646345071. The reversal of 8734646345040 is 405436464378.

8734646345040 is a `hidden beast` number, since 8 + 7 + 34 + 64 + 63 + 450 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10521804 + ... + 11321556.

Almost surely, 2^{8734646345040} is an apocalyptic number.

8734646345040 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 8734646345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378884354688).

8734646345040 is an abundant number, since it is smaller than the sum of its proper divisors (28023122364336).

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

8734646345040 is a wasteful number, since it uses less digits than its factorization.

8734646345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799987 (or 799978 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 8734646345040 in words is "eight trillion, seven hundred thirty-four billion, six hundred forty-six million, three hundred forty-five thousand, forty".