87340032000 has 1008 divisors, whose sum is σ = 352115624952. Its totient is φ = 21499084800.

The previous prime is 87340031969. The next prime is 87340032007. The reversal of 87340032000 is 23004378.

It can be written as a sum of positive squares in 4 ways, for example, as 11851370496 + 75488661504 = 108864^2 + 274752^2 .

It is a super-2 number, since 2×87340032000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (87340032007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6718463994 + ... + 6718464006.

Almost surely, 2^87340032000 is an apocalyptic number.

87340032000 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 87340032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176057812476).

87340032000 is an abundant number, since it is smaller than the sum of its proper divisors (264775592952).

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

87340032000 is an frugal number, since it uses more digits than its factorization.

87340032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 87340032000 its reverse (23004378), we get a palindrome (87363036378).

The spelling of 87340032000 in words is "eighty-seven billion, three hundred forty million, thirty-two thousand".