876018464640 has 1536 divisors, whose sum is σ = 3701164492800. Its totient is φ = 194022604800.

The previous prime is 876018464597. The next prime is 876018464647. The reversal of 876018464640 is 46464810678.

876018464640 is a `hidden beast` number, since 87 + 60 + 1 + 8 + 46 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876018464647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2032525225 + ... + 2032525655.

It is an arithmetic number, because the mean of its divisors is an integer number (2409612300).

Almost surely, 2^876018464640 is an apocalyptic number.

876018464640 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 876018464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850582246400).

876018464640 is an abundant number, since it is smaller than the sum of its proper divisors (2825146028160).

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

876018464640 is a wasteful number, since it uses less digits than its factorization.

876018464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 876018464640 in words is "eight hundred seventy-six billion, eighteen million, four hundred sixty-four thousand, six hundred forty".