87333452640 has 768 divisors, whose sum is σ = 377540352000. Its totient is φ = 18782281728.

The previous prime is 87333452621. The next prime is 87333452653. The reversal of 87333452640 is 4625433378.

87333452640 is a `hidden beast` number, since 87 + 3 + 3 + 3 + 4 + 526 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25188187 + ... + 25191653.

It is an arithmetic number, because the mean of its divisors is an integer number (491589000).

Almost surely, 2^87333452640 is an apocalyptic number.

87333452640 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 87333452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188770176000).

87333452640 is an abundant number, since it is smaller than the sum of its proper divisors (290206899360).

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

87333452640 is a wasteful number, since it uses less digits than its factorization.

87333452640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 87333452640 in words is "eighty-seven billion, three hundred thirty-three million, four hundred fifty-two thousand, six hundred forty".