87840526464 has 384 divisors, whose sum is σ = 279030286080. Its totient is φ = 27411333120.

The previous prime is 87840526349. The next prime is 87840526493. The reversal of 87840526464 is 46462504878.

It is a happy number.

87840526464 is a `hidden beast` number, since 8 + 78 + 4 + 0 + 526 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×87840526464³ (a number of 34 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87840526464.

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, 143295822 + ... + 143296434.

It is an arithmetic number, because the mean of its divisors is an integer number (726641370).

Almost surely, 2^87840526464 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 87840526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139515143040).

87840526464 is an abundant number, since it is smaller than the sum of its proper divisors (191189759616).

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

87840526464 is a wasteful number, since it uses less digits than its factorization.

87840526464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 87840526464 in words is "eighty-seven billion, eight hundred forty million, five hundred twenty-six thousand, four hundred sixty-four".