855323504640 has 1040 divisors, whose sum is σ = 3522329205120. Its totient is φ = 196358307840.

The previous prime is 855323504611. The next prime is 855323504671. The reversal of 855323504640 is 46405323558.

855323504640 is a `hidden beast` number, since 8 + 5 + 532 + 3 + 50 + 4 + 64 + 0 = 666.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 346704687 + ... + 346707153.

Almost surely, 2^855323504640 is an apocalyptic number.

855323504640 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 855323504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761164602560).

855323504640 is an abundant number, since it is smaller than the sum of its proper divisors (2667005700480).

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

855323504640 is a wasteful number, since it uses less digits than its factorization.

855323504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 855323504640 in words is "eight hundred fifty-five billion, three hundred twenty-three million, five hundred four thousand, six hundred forty".