87640567200 has 216 divisors, whose sum is σ = 309413508768. Its totient is φ = 23342768640.

The previous prime is 87640567199. The next prime is 87640567213. The reversal of 87640567200 is 276504678.

87640567200 is a `hidden beast` number, since 8 + 7 + 64 + 0 + 567 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6379539 + ... + 6393261.

It is an arithmetic number, because the mean of its divisors is an integer number (1432469948).

Almost surely, 2^87640567200 is an apocalyptic number.

87640567200 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 87640567200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154706754384).

87640567200 is an abundant number, since it is smaller than the sum of its proper divisors (221772941568).

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

87640567200 is a wasteful number, since it uses less digits than its factorization.

87640567200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14636 (or 14620 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 87640567200 in words is "eighty-seven billion, six hundred forty million, five hundred sixty-seven thousand, two hundred".