87662499840 has 288 divisors, whose sum is σ = 308378856240. Its totient is φ = 23026139136.

The previous prime is 87662499823. The next prime is 87662499853. The reversal of 87662499840 is 4899426678.

87662499840 is a `hidden beast` number, since 8 + 7 + 6 + 62 + 499 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6167622 + ... + 6181818.

Almost surely, 2^87662499840 is an apocalyptic number.

87662499840 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 87662499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154189428120).

87662499840 is an abundant number, since it is smaller than the sum of its proper divisors (220716356400).

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

87662499840 is a wasteful number, since it uses less digits than its factorization.

87662499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14297 (or 14274 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 87662499840 in words is "eighty-seven billion, six hundred sixty-two million, four hundred ninety-nine thousand, eight hundred forty".