8140264704 has 432 divisors, whose sum is σ = 28498788864. Its totient is φ = 2200780800.

The previous prime is 8140264679. The next prime is 8140264711. The reversal of 8140264704 is 4074620418.

8140264704 is a `hidden beast` number, since 8 + 1 + 4 + 0 + 2 + 647 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10213234 + ... + 10214030.

Almost surely, 2^8140264704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249394432).

8140264704 is an abundant number, since it is smaller than the sum of its proper divisors (20358524160).

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

8140264704 is a wasteful number, since it uses less digits than its factorization.

8140264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 857 counting only the distinct ones).

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

The square root of 8140264704 is about 90223.4154973087. The cubic root of 8140264704 is about 2011.6210699156.

The spelling of 8140264704 in words is "eight billion, one hundred forty million, two hundred sixty-four thousand, seven hundred four".