87024356640 has 768 divisors, whose sum is σ = 346579430400. Its totient is φ = 20233027584.

The previous prime is 87024356609. The next prime is 87024356659. The reversal of 87024356640 is 4665342078.

87024356640 is a `hidden beast` number, since 8 + 7 + 0 + 2 + 43 + 566 + 40 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114959142 + ... + 114959898.

It is an arithmetic number, because the mean of its divisors is an integer number (451275300).

Almost surely, 2^87024356640 is an apocalyptic number.

87024356640 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 87024356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173289715200).

87024356640 is an abundant number, since it is smaller than the sum of its proper divisors (259555073760).

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

87024356640 is a wasteful number, since it uses less digits than its factorization.

87024356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 87024356640 in words is "eighty-seven billion, twenty-four million, three hundred fifty-six thousand, six hundred forty".