87820869464640 has 672 divisors, whose sum is σ = 350276708396160. Its totient is φ = 20000977256448.

The previous prime is 87820869464561. The next prime is 87820869464641. The reversal of 87820869464640 is 4646496802878.

87820869464640 is a `hidden beast` number, since 8 + 7 + 8 + 20 + 86 + 9 + 464 + 64 + 0 = 666.

It is a super-2 number, since 2×87820869464640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (87820869464641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36383007 + ... + 38721633.

It is an arithmetic number, because the mean of its divisors is an integer number (521245101780).

Almost surely, 2^{87820869464640} is an apocalyptic number.

87820869464640 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 87820869464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175138354198080).

87820869464640 is an abundant number, since it is smaller than the sum of its proper divisors (262455838931520).

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

87820869464640 is a wasteful number, since it uses less digits than its factorization.

87820869464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338739 (or 2338726 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 87820869464640 in words is "eighty-seven trillion, eight hundred twenty billion, eight hundred sixty-nine million, four hundred sixty-four thousand, six hundred forty".