87643140480 has 1536 divisors, whose sum is σ = 384943104000. Its totient is φ = 19020718080.

The previous prime is 87643140461. The next prime is 87643140491. The reversal of 87643140480 is 8404134678.

87643140480 is a `hidden beast` number, since 87 + 64 + 31 + 4 + 0 + 480 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1653644134 + ... + 1653644186.

It is an arithmetic number, because the mean of its divisors is an integer number (250614000).

Almost surely, 2^87643140480 is an apocalyptic number.

87643140480 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 87643140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192471552000).

87643140480 is an abundant number, since it is smaller than the sum of its proper divisors (297299963520).

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

87643140480 is an equidigital number, since it uses as much as digits as its factorization.

87643140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 87643140480 in words is "eighty-seven billion, six hundred forty-three million, one hundred forty thousand, four hundred eighty".